Jurgen Klopp side Liverpool enhanced their prospects of a top-four place by beating derby rivals Everton, whose own hopes of breaking into the battle for a UEFA Champions League qualification spot were severely damaged by the defeat.
Midfielder Sadio Mane gave the hosts an early lead when he played a one-two with Forward Roberto Firmino and finished off an angled run with a shot into the far corner.
A Philippe Coutinho shot was palmed up by Everton goalkeeper Joel Robles and headed off the line by Phil Jagielka before the visitors equalised.
Everton defender Phil Jagielka flicked on a corner at the near post and, centre-back Ashley Williams got a touch, Matthew Pennington arrived to slot in his first Everton goal on his first appearance of the season.
However, the game was level for just two minutes and 57 seconds before Brazilian midfielder (Coutinho) beat two players and curled a shot into the top corner, and he then set up substitute striker Divock Origi - on for the injured Mane - to power in Liverpool's third.