Jurgen Klopp’s side hosted the Clarets in their second Premier League game of the season, as a full home crowd created a special occasion on Merseyside.
Diogo Jota led Liverpool ahead after a precise cross from Tsimikas before Sadio Mane buried a finish after the break.
The victory puts the Reds at the top of the Premier League, after back-to-back wins.
Here we compare our players’ ratings with those of Liverpool Echo, Independent, BBC Sport, FotMob and TIA readers.
Perhaps surprisingly, it was Alisson (8.2) who obtained the highest average score.
The Brazilian was almost flawless at Anfield, however, making strong saves to record a second clean sheet in a row.
The EchoIan Doyle felt that Alisson “handled Burnley’s air threat with great poise”, although Karl Matchett of the Independent stressed that he had been “beaten just before the break by a header from Tarkowski”.
Elliott (8.1) was considered the second best, after a very impressive first start in the Premier League.
The 18-year-old looked like a class act at Anfield, with TIA’s James Nalton saying he was ‘heavily involved’ and ‘grew up in the game’.
Meanwhile, Matchett believed Elliott was a ‘very confident’ presence for Liverpool, playing ‘great assists’.
Tsimikas (7.9) and Trent Alexander-Arnold (7.9) shared third place, on a good afternoon for the full-back duo.
Doyle praised Alexander-Arnold’s “big assist” for Mane’s goal, while Nalton praised Tsimikas for playing “four key passes”.
Naby Keïta (7.2) got the lower average rather harshly, although FotMob noted that he failed to make a key pass and lost five of nine matches.