The Liverpool boss has been under fire for the Reds' poor start to the season and their most recent form, but Evans thinks the players need to take some responsibility, and the side needs to get back to basics.
The Reds have lost four games on the bounce in all competitions - their worst run of form in five years - and it has led to some question marks over the future of the Northern Irishman.
It seems as though the club's owners are happy for Rodgers to remain in charge and are looking to the long term - with Rodgers given the target of getting out of the Champions League group and finishing in the top four in the Premier League.
Evans told TalkSport: “In management you go from being the messiah to everyone wanting you to get the sack. For Liverpool to do that, at this stage, would be ridiculous.
“You’ve got to give Brendan time. Everything at the moment seems to go back onto the manager, but what about the players?
“Somewhere along the line Brendan has got to go back to basics, pick his best team and let them show us they have the passion and pride to play for a top team."
It is reported that there may be an element of 'back to basics' for the Reds in tonight's Champions League encounter with Kolo Toure and Lucas Leiva expected to come into the line-up to freshen up the side with Dejan Lovren struggling for form, and with a view to changing Steven Gerrard's role in the side.
Rickie Lambert has voiced that the players should be taking more responsibility, saying their latest defeat against Crystal Palace on Sunday was the fault of the players, and it is something they will look to rectify in the games ahead.
Rodgers has presided over a transfer window where the Reds spent in excess of £100 million on nine new players as they built for life without Luis Suarez. Some will point that he has been unlucky when it comes to injuries to one key member of the squad in particular in Daniel Sturridge - but the performances of key areas in the side has been alarming.
Tonight is a massive game for Brendan Rodgers and his side as they look to take a big step to achieving one of their key targets in reaching the knock-out stages of the Champions League. Beating Ludogorets will guarantee to set up a showdown with Basel for second place in Group B in 13 days time - but a defeat will likely see them eliminated from the competition. The Reds in desperate need for a win tonight for both confidence and progression.