Match ends, Burnley 1, Liverpool 3.
Burnley 1-3 Liverpool
Substitute Roberto Firmino scored with his first touch as Liverpool came from behind to beat struggling Burnley and stay in touch with leaders Manchester City in the Premier League table.
Jack Cork gave the hosts a surprise lead after Alisson could not gather the ball following a corner but Jurgen Klopp's side hit back with three goals.
James Milner equalised with a superb low finish from the edge of the box and Firmino, one of seven players left out from the side that started against Everton on Sunday, tapped home Virgil van Dijk's athletic cutback.
Xherdan Shaqiri made sure of the win for Liverpool with a clinical counter-attack goal moments after Alisson had saved superbly from Ben Mee.
Liverpool are two points behind Pep Guardiola's side after 15 games and have made the best start to a season in the club's 126-year history.
They will go top of the table and put pressure on City on Saturday if they win at Bournemouth (12:30 GMT), with the leaders facing a difficult game at Chelsea at 17:30.
- 'The injury threat was massive' - Klopp unhappy with tackling
- Reaction from Turf Moor and the rest of Wednesday's Premier League games
Reds dig deep to keep pressure on Man City
For the first time since May 2017, Klopp started a league match without star forwards Firmino, Mohamed Salah or Sadio Mane.
This was Liverpool's 21st competitive game of the campaign and, with a lunchtime kick-off at Bournemouth on Saturday followed by a must-win Champions League game against Napoli on Tuesday, the Liverpool boss made wholesale changes.
For long periods it looked like the German's decision could backfire.
The much-changed Reds were subdued in a first half in which they lost defender Joe Gomez - one of the four survivors from Sunday's line-up - to an ankle injury following a challenge with Mee.
Nevertheless Clarets keeper Joe Hart still had to save well from Daniel Sturridge and Naby Keita when the game was goalless and the visitors' evening got worse when they conceded in the top flight for the first time since 3 November.
But soon after Milner cancelled out Cork's goal, leading scorer Salah and Firmino were introduced and Liverpool finally took control.
Firmino was in the right place to slide in only his second top-flight goal in three months after a terrific assist from Van Dijk while Phil Bardsley cleared another effort by Keita off the line in the closing stages.
In a frantic finish, Alisson stretched to keep out Mee's header before Shaqiri finished emphatically after an excellent breakaway involving Sturridge and Salah.
Clarets need points - not hard-luck stories
Burnley played with energy and purpose for long spells yet remain one point from safety in 19th spot after a 10th top-flight defeat.
This was a much-improved performance compared to the 2-0 defeat to Crystal Palace in their previous game.
With the game goalless, Chris Wood had a shot deflected just wide while Bardsley went even closer to his first goal for the club with a sweet strike.
Ashley Barnes had a goal ruled out for offside before Cork had the home fans dreaming of a first Premier League win since 30 September after Liverpool failed to clear a corner.
But Liverpool's quality substitutes proved the difference as Burnley conceded their 31st and 32nd top-flight goals of the season.
Having taken two points from the last 24 on offer, Burnley need to start turning hard-working performances into points quickly - or face a tough winter in the bottom three.
Man of the match - Naby Keita (Liverpool)
'We made life difficult for ourselves' - the managers
Liverpool manager Jurgen Klopp: "Burnley had this specific plan, they wanted to be really aggressive.
"I was really happy we could go into half-time and adjust a few things. We made life difficult for ourselves.
"We controlled the game in a lot of moments. The second half was the perfect reaction and I'm really happy about the three points."
Burnley manager Sean Dyche: "The minimum we wanted was a performance and that was much more like us.
"The important thing now is we have to keep delivering that level of performance because if we do we are still a force in the Premier League.
"The crowd were absolutely fantastic and they are right with us. It all starts with tonight's performance now and that has to be close to the benchmark and we have to build on that."
Liverpool equal top-flight English league record - the stats
- Liverpool have conceded six goals in their 15 Premier League games this season - equalling the top-flight English league record at this stage of a season alongside Man Utd in 1985-86, Arsenal in 1990-91, Chelsea in 2004-05 and Chelsea in 2008-09.
- Burnley have taken nine points from their opening 15 games this season. Just three of the previous 18 teams to have won nine points or fewer from their first 15 games of a Premier League season have avoided relegation: Sunderland in 2013-14, Wigan in 2007-08 and Coventry in 1995-96.
- Alisson has remained unbeaten in his opening 15 league matches as a Liverpool player, equalling the club record in the Premier League set by Javier Mascherano in November 2007.
- This was the first Premier League game that none of Mohamed Salah, Roberto Firmino or Sadio Mane have been in Liverpool's starting XI since May 2017 against West Ham United.
- Roberto Firmino scored with his first touch of the ball, two minutes and 55 seconds after coming on as a substitute.
- This was the 50th game Liverpool's James Milner has scored in during his Premier League career and he has not ended on the losing side in any of those matches.
- This was the 10th competitive game Jack Cork has scored in for Burnley and the first time he has lost when doing so.
Burnley are back at Turf Moor on Saturday for the visit of Brighton (15:00 GMT), while Liverpool are in action earlier in the day away at Bournemouth (12:30)
- 7Berg Gudmundsson
- 12BradySubstituted forLennonat 71'minutes
- 10BarnesSubstituted forVydraat 83'minutesBooked at 86mins
- 11WoodSubstituted forVokesat 71'minutes
- 12GomezSubstituted forAlexander-Arnoldat 23'minutes
- 4van Dijk
- 18MorenoSubstituted forSalahat 65'minutes
- 27OrigiSubstituted forFirminoat 66'minutes
- Stuart Attwell
- Shots on Target
Second Half ends, Burnley 1, Liverpool 3.
Attempt missed. Phil Bardsley (Burnley) right footed shot from outside the box misses to the left. Assisted by Ashley Westwood.
Goal! Burnley 1, Liverpool 3. Xherdan Shaqiri (Liverpool) left footed shot from the centre of the box to the bottom right corner. Assisted by Mohamed Salah with a through ball following a fast break.
Attempt saved. Ben Mee (Burnley) header from the centre of the box is saved in the top left corner.
Corner, Burnley. Conceded by Virgil van Dijk.
Delay over. They are ready to continue.
Delay in match Naby Keita (Liverpool) because of an injury.
Matej Vydra (Burnley) is shown the yellow card for a bad foul.
Naby Keita (Liverpool) wins a free kick in the defensive half.
Foul by Matej Vydra (Burnley).
Attempt saved. Mohamed Salah (Liverpool) right footed shot from the right side of the box is saved in the bottom right corner. Assisted by Roberto Firmino.
Substitution, Burnley. Matej Vydra replaces Ashley Barnes.
Corner, Liverpool. Conceded by Phil Bardsley.
Attempt blocked. Naby Keita (Liverpool) right footed shot from the centre of the box is blocked. Assisted by Jordan Henderson.
Attempt missed. Jordan Henderson (Liverpool) right footed shot from outside the box misses to the left.
Attempt blocked. Naby Keita (Liverpool) right footed shot from the centre of the box is blocked. Assisted by Mohamed Salah.
Attempt saved. Mohamed Salah (Liverpool) right footed shot from the right side of the six yard box is saved in the bottom right corner.
Attempt saved. Naby Keita (Liverpool) left footed shot from outside the box is saved in the centre of the goal. Assisted by Mohamed Salah.
Attempt saved. Ashley Westwood (Burnley) right footed shot from outside the box is saved in the bottom right corner. Assisted by Johann Gudmundsson.