The Gunners played well in the first half but two quickfire goals at the start of the second half proved to be the difference between them.
The three points have greater significance for Jurgen Klopp’s side, as they are now only one point behind table toppers Manchester City.
The result means Liverpool are only one point behind Premier League table toppers Manchester City.
Jota also netted both the goals against Arsenal in the midweek to help them reach the final of the Carabao Cup.
Thiago has not figured since the win over Newcastle United on December 16 due to a COVID-19 infection and a subsequent knock.
Arsenal host Liverpool in the Carabao Cup semi-final 2nd leg fixture at Emirates Stadium on Thursday.