And the introduction of Sinclair, who only celebrated his 16th birthday six days ago, after 82 minutes created a watershed moment in the Reds history as he replaced Jack Robinson as the club's youngest ever player.
Robinson, who made his debut for the Merseysiders at 16 years and 250 days, was part of Liverpool's starting line-up at The Hawthorns and epitomised the youthful look of the visitors' team.
Rodgers made 11 changes from Sunday's Premier League defeat by Manchester United, highlighting his main focus is Saturday's game against Norwich as his side chase a first top-flight win of the season.
The league campaign began badly for Rodgers when his side were beaten 3-0 by West Brom in August, as the Northern Irishman was handed a defeat in his first competitive game in charge of the Merseysiders.
Liverpool's young guns
19-year-old English defender
19-year-old English defender
19-year-old English defender
22-year-old English defender
18-year-old Spanish midfielder
20-year-old English midfielder
16-year-old English forward
17-year-old English winger
18-year-old German forward
21-year-old Spanish forward
His return to the Midlands club did not start well either as the Baggies took the lead when Jones dropped Liam Ridgewell's free-kick and Tamas gratefully drove a shot into the net from just inside the area.
The visitors were wobbling and Romelu Lukaku had a shot deflected wide before cutting the ball back for fellow striker Markus Rosenborg, whose effort was saved by Jones at the near post.
Liverpool gradually settled with Moroccan winger Assaidi using his pace and trickery to provide the visitors with an incisive threat on the left wing.
One particular jinking run ended with a cross to the near post where 19-year-old debutant Samed Yesil glanced a header wide.
Another goalkeeping mistake let Liverpool back into the match when Foster should have done better than let Sahin's well-struck left-foot strike sneak past him.
It was the Turkish international midfielder's first goal for the Reds since he joined on loan from Real Madrid in the summer and the effort helped the Reds grow in confidence.
Yesil almost benefited from another Foster error when the Baggies keeper misjudged the flight of the forward's shot and was fortunate when his blocked save bounced behind him and over the crossbar.
'Outstanding' Reds excite Rodgers
A dipping shot from Liverpool striker Daniel Pacheco skimmed the crossbar before West Brom responded with a Rosenborg sidefooted effort being saved.
Both sides carried a threat but it was Liverpool who provided the quality to engineer a winner.
Substitute Suso ran at the Baggies defence and spread the ball to Assaidi, whose low first-time cross was met with a simple finish by Sahin.
Foul by Nuri Sahin on Youssouf Mulumbu, free kick awarded. Ben Foster takes the direct free kick.
A cross is delivered by Youssouf Mulumbu, Andre Wisdom makes a clearance.
Gabriel Tamas has an effort at goal from 30 yards. Blocked by Jamie Carragher.
Substitution Yassine El Ghanassy comes on in place of Marc-Antoine Fortune.
The offside flag is raised against Jerome Sinclair. Ben Foster takes the indirect free kick.
Free kick awarded for a foul by Sebastian Coates on Markus Rosenberg. Graham Dorrans restarts play with the free kick.
The ball is delivered by Marc-Antoine Fortune, Jamie Carragher makes a clearance.
The ball is sent over by Jonas Olsson, Marc-Antoine Fortune takes a shot. Save by Brad Jones.
The assist for the goal came from Oussama Assaidi.
81:39 Goal scored
Goal! - Nuri Sahin - West Brom 1 - 2 Liverpool Nuri Sahin gets on the score sheet with a goal from close range to the top right corner of the goal. West Brom 1-2 Liverpool.
Substitution Jerome Sinclair on for Samed Yesil.
Substitution Jesus Fernandez Saez is brought on as a substitute for Daniel Pacheco.
A cross is delivered by Stewart Downing, clearance by Gabriel Tamas.
Oussama Assaidi fouled by Craig Dawson, the ref awards a free kick. Nuri Sahin restarts play with the free kick. Sebastian Coates takes a shot. Save made by Ben Foster. Outswinging corner taken from the left by-line by Nuri Sahin, Jonas Olsson manages to make a clearance. Corner taken left-footed by Nuri Sahin, Craig Dawson manages to make a clearance.
Marc-Antoine Fortune produces a cross, save by Brad Jones.
Free kick awarded for an unfair challenge on George Thorne by Samed Yesil. Free kick taken by George Thorne.
Substitution Shane Long on for Romelu Lukaku.
Craig Dawson gives away a free kick for an unfair challenge on Oussama Assaidi. Jack Robinson takes the free kick.
The ball is delivered by Markus Rosenberg, save made by Brad Jones.
A cross is delivered by Jack Robinson.
Romelu Lukaku concedes a free kick for a foul on Brad Jones. Brad Jones restarts play with the free kick.
Oussama Assaidi produces a right-footed shot from just outside the box that misses to the right of the target.
Daniel Pacheco produces a drilled right-footed shot from 25 yards. Save by Ben Foster. Corner taken left-footed by Nuri Sahin from the right by-line, Graham Dorrans makes a clearance.
The ball is delivered by Oussama Assaidi, Jonas Olsson makes a clearance.
The ball is swung over by Marc-Antoine Fortune, clearance made by Jamie Carragher.
Graham Dorrans takes a outswinging corner from the right by-line to the near post, save by Brad Jones.
Shot from 20 yards by Markus Rosenberg. Save by Brad Jones. Corner taken by Graham Dorrans from the left by-line, Brad Jones makes a save.
Shot from just outside the area by Markus Rosenberg misses to the left of the target.
Drilled right-footed shot by Daniel Pacheco.
Shot by Samed Yesil. Save made by Ben Foster. Outswinging corner taken by Nuri Sahin from the left by-line, clearance made by Gabriel Tamas.
Oussama Assaidi sends in a cross.
The match restarts for the second half.
45:00 +2:13 Half time
Half Time The ref blows to end the first period.
Daniel Pacheco gives away a free kick for an unfair challenge on Youssouf Mulumbu. Graham Dorrans delivers the ball from the free kick right-footed from right channel, clearance made by Jamie Carragher.
Free kick awarded for a foul by Sebastian Coates on Marc-Antoine Fortune. Free kick taken by Graham Dorrans.
Drilled right-footed shot by Youssouf Mulumbu. Blocked by Jamie Carragher.
Graham Dorrans takes the free kick. Outswinging corner taken by Graham Dorrans from the right by-line played to the near post, clearance made by Jordan Henderson.
Booking Andre Wisdom is cautioned by the ref for unsporting behaviour.
Free kick awarded for an unfair challenge on Billy Jones by Andre Wisdom.
Stewart Downing produces a left-footed shot from inside the area that goes over the bar.
Direct free kick taken by Jack Robinson.
Booking Caution for Youssouf Mulumbu.
Unfair challenge on Nuri Sahin by Youssouf Mulumbu results in a free kick.
Romelu Lukaku produces a drilled left-footed shot from 20 yards. Brad Jones makes a save.
Effort from 25 yards by Nuri Sahin. Gabriel Tamas gets a block in.
Free kick awarded for a foul by Jack Robinson on Marc-Antoine Fortune. Billy Jones takes the direct free kick.
The ball is swung over by Nuri Sahin.
Outswinging corner taken left-footed by Nuri Sahin, clearance made by Gabriel Tamas.
Stewart Downing crosses the ball, clearance by Jonas Olsson.
Andre Wisdom crosses the ball, clearance by Gabriel Tamas.
The ball is delivered by Stewart Downing, Billy Jones gets a block in.
Oussama Assaidi takes a shot from 18 yards. Save made by Ben Foster.
Shot from 18 yards by Daniel Pacheco. Blocked by Gabriel Tamas.
Substitution Craig Dawson comes on in place of Liam Ridgewell.
Shot by Jordan Henderson. Blocked by Gabriel Tamas.
The assist for the goal came from Andre Wisdom.
16:10 Goal scored
Goal! - Nuri Sahin - West Brom 1 - 1 Liverpool Goal scored by Nuri Sahin from outside the area to the bottom left corner of the goal. West Brom 1-1 Liverpool.
Samed Yesil produces a right-footed shot from just outside the area that goes harmlessly over the bar.
Unfair challenge on Oussama Assaidi by Marc-Antoine Fortune results in a free kick. Jack Robinson takes the direct free kick.
Effort on goal by Marc-Antoine Fortune from just inside the penalty box goes harmlessly over the target.
Samed Yesil has a headed effort at goal from close in which goes wide right of the goal.
Corner taken short by Stewart Downing. The ball is crossed by Stewart Downing, clearance made by Gabriel Tamas.
Shot by Markus Rosenberg. Save by Brad Jones.
Romelu Lukaku takes a shot. Jamie Carragher gets a block in. Outswinging corner taken by Graham Dorrans, Jonas Olsson challenges Sebastian Coates unfairly and gives away a free kick. Direct free kick taken by Brad Jones.
Assist on the goal came from Liam Ridgewell.
2:31 Goal scored
Goal! - Gabriel Tamas - West Brom 1 - 0 Liverpool Gabriel Tamas finds the back of the net with a goal from inside the box to the bottom left corner of the goal. West Brom 1-0 Liverpool.
Markus Rosenberg fouled by Andre Wisdom, the ref awards a free kick. Direct free kick taken by Liam Ridgewell.
The referee penalises Marc-Antoine Fortune for handball. Brad Jones takes the direct free kick.
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