Match ends, Liverpool 1, Shrewsbury Town 0.
Liverpool's youngest-ever starting line-up beat Shrewsbury Town to set up an FA Cup fifth-round tie at Chelsea.
They edged past the League One side through Ro-Shaun Williams' own goal.
With the Reds' senior players enjoying the inaugural Premier League winter break, under-23s boss Neil Critchley led a side at Anfield containing seven teenage outfield players.
At 0-0, Shrewsbury had a Shaun Whalley goal disallowed by the video assistant referee (VAR).
Whalley thought he had given the Shrews the lead but his header was disallowed when VAR ruled there had been an offside in the build-up.
The visitors had come from 2-0 down to force a fourth-round replay but could not recover after defender Williams headed past his own keeper from Liverpool right-back Neco Williams' cross.
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- Reaction from Tuesday's FA Cup replays
- FA Cup fifth-round draw
Teenage kicks at Anfield
There were jubilant scenes on the pitch at the end as Liverpool reached the last 16 despite the absence of 22 senior players and first-team manager Jurgen Klopp.
The teenagers were given a standing ovation when they celebrated a hard-fought win in front of the Kop.
This was a game the Reds did not want, Klopp making it clear within minutes of the first meeting between the clubs ending on 26 January that he would not be asking his senior players to interrupt their winter break for the replay.
Instead the Reds fielded a team consisting wholly of players from the under-23 squad.
At an average age of 19 years and 102 days, it was the youngest line-up in Liverpool's history, eclipsing the team - average age 19 years and 182 days - overwhelmed 5-0 at Aston Villa in the Carabao Cup quarter-final in December when the senior side were at the Club World Cup in Qatar.
Curtis Jones and 16-year-old Harvey Elliott - three substitute appearances totalling 20 minutes between them this season - were the only two Reds players on show with Premier League experience.
Aged 19 years and five days, Toxteth-born Jones became the youngest first-team captain in Liverpool's history. Shrewsbury were skippered by 34-year-old former Wales midfielder Dave Edwards.
There was at least one of Klopp's senior players in the sell-out crowd, with James Milner offering his support sat behind the home dugout.
Reds fighting on three fronts
For many of the players wearing red, this was the biggest night of their careers so far.
Yet they were not overawed by playing in front of a 52,399 crowd as they looked the more likely to score.
The eye-catching Neco Williams had already twice gone close when the 18-year-old right-back was denied by Max O'Leary's foot before Shrewsbury thought they had scored.
Whalley, who grew up supporting Liverpool, wheeled away in celebration after heading home from inside the six-yard area after Edwards had been denied by keeper Caoimhin Kelleher.
However, Shrewsbury's celebrations were cut short when a VAR check revealed Scott Golbourne was offside in the build-up.
With 16-year-old Harvey Elliott again impressing with his work-rate and vision, Liverpool carved out a string of chances yet it required a huge slice of Shrewsbury misfortune to break the deadlock.
There appeared to be little danger from Neco Williams' long ball forward and Ro-Shaun Williams, who started his career at Manchester United, was left in despair as he inadvertently diverted it past O'Leary.
With a massive 22-point advantage at the top of the Premier League and a last-16 tie with Atletico Madrid in the Champions League, this victory means Liverpool are still chasing silverware on three fronts - having already won the Club World Cup and Super Cup.
Cruel own goal ends Shrews run
Roared on by 8,000 travelling fans and the news Liverpool would be fielding an under-strength side, Shrewsbury were hoping for a famous win after their magnificent fightback in the first game last month.
It was not to be as Jason Cummings, whose two goals from the substitutes' bench earned his side a big night at Anfield, was unable to repeat his heroics after coming on shortly before Liverpool's goal.
This was Shrewsbury's 39th league and cup game of the season and apart from Whalley's disallowed effort, they did not test Reds keeper Kelleher throughout the 90 minutes.
They exit the FA Cup having made hundreds of thousands of pounds from a run that started on 9 November.
While Liverpool march on, the Shrews can concentrate on League One, where they are 16th and without a win in 2020.
Man of the match - Neco Williams (Liverpool)
Unbeaten in 40 - the stats
- Liverpool are now unbeaten in 40 games at Anfield in all competitions (W35 D5), winning each of their past seven home matches without conceding a single goal.
- Shrewsbury have scored two own goals against Liverpool in the FA Cup this season - the first time the Reds have benefited from two own goals by the same opponent in an FA Cup campaign since Brighton scored three in a 6-1 defeat at Anfield in February 2012.
Liverpool are not back in action until 15 February when the runaway Premier League leaders travel to bottom club Norwich (17:30 GMT) while Shrewsbury host MK Dons in League One on Saturday (15:00).
- 76N WilliamsBooked at 40mins
- 72van den Berg
- 84ClarksonSubstituted forBoyesat 90+2'minutes
- 67ElliottSubstituted forDixon-Bonnerat 90+4'minutes
- 49MillarSubstituted forHardyat 82'minutes
- 17LoveBooked at 65mins
- 3GolbourneBooked at 33mins
- 22GossSubstituted forCummingsat 74'minutes
- 7WhalleySubstituted forWalkerat 82'minutes
- 9LangSubstituted forUdohat 57'minutes
- Andy Madley
- Shots on Target
Second Half ends, Liverpool 1, Shrewsbury Town 0.
Substitution, Liverpool. Elijah Dixon-Bonner replaces Harvey Elliott.
Offside, Shrewsbury Town. Max O'Leary tries a through ball, but Aaron Pierre is caught offside.
Substitution, Liverpool. Morgan Boyes replaces Leighton Clarkson.
Corner, Liverpool. Conceded by Donald Love.
Corner, Shrewsbury Town. Conceded by Ki-Jana Hoever.
Curtis Jones (Liverpool) wins a free kick on the right wing.
Foul by David Edwards (Shrewsbury Town).
Substitution, Liverpool. Joseph Hardy replaces Liam Millar.
Substitution, Shrewsbury Town. Brad Walker replaces Shaun Whalley.
Attempt missed. Josh Laurent (Shrewsbury Town) left footed shot from the centre of the box is high and wide to the right.
Neco Williams (Liverpool) wins a free kick in the defensive half.
Foul by Daniel Udoh (Shrewsbury Town).
Own Goal by Ro-Shaun Williams, Shrewsbury Town. Liverpool 1, Shrewsbury Town 0.
Attempt saved. Jake Cain (Liverpool) left footed shot from outside the box is saved in the bottom right corner.
Corner, Liverpool. Conceded by David Edwards.
Corner, Liverpool. Conceded by Ethan Ebanks-Landell.
Substitution, Shrewsbury Town. Jason Cummings replaces Sean Goss.
Attempt blocked. Pedro Chirivella (Liverpool) right footed shot from outside the box is blocked.