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 distance and Firmino, one of seven players left out from the side that started against Everton on Sunday, tapped home from Virgil van Dijk’s athletic cutback.
Xherdan Shaqiri ensured Liverpool moved back to within two points of Pep Guardiola’s side with a clinical counter-attack goal moments after Alisson had saved superbly to deny Ben Mee.
For the first time since May 2017, Klopp started a match without Salah, Firmino or 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 Reds were subdued in a first half in which they lost defender Joe Gomez – one of only four survivors from Sunday’s line-up – to injury after he collided with the advertising hoarding 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.
Soon after Milner cancelled out Cork’s goal, leading scorer Mohamed Salah and Firmino were introduced and Liverpool finally took control.
Firmino was in the right place to tap home 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 out before Shaqiri finished emphatically after an excellent breakaway involving Sturridge and Salah.