Evans, who joined the club ten months ago, resigned a few months ago but agreed to stay until the end of the season.
He was responsible for the Premiership club’s community and commercial PR activities.
Evans is leaving to launch his own agency called Good Evans and will continue to work for Liverpool as a consultant.
Evans said: ‘I thoroughly enjoyed my time there. The players were brilliant and always on hand to go out into the local community to offer support to the club’s fantastic community programmes.’
His exit comes as the club faces comms and managerial turmoil. It has recently parted company with manager Kenny Dalglish, director of football Damien Comolli and director of comms Ian Cotton.
On 13 May Cotton left the club, and has been replaced by former US Sports Illustrated journalist Jen Chang.
The departures followed a disappointing season for the team on the pitch, having finished 8th in the league, a place below neighbours and rivals Everton, and their lowest place for 18 years.