The Belgium goalkeeper’s error, missing Gabriel Agbonlahor's cross, allowed compatriot Christian Benteke to head the away side into a 2-0 lead at Anfield, before goals from Daniel Sturridge and Steven Gerrard rescued a point for the Reds.
Rodgers spent £9 million on the 25-year-old shot-stopper from Sunderland last summer, and the manager remains sure of Mignolet's talent.
“Confidence-wise, it is important for me to lift all the players. And for Simon, it is something I will reinforce with him,” Rodgers told the club's official website.
“He is still an outstanding goalkeeper but when you make those mistakes they get highlighted more as a keeper. He will be disappointed with the second one because it is a basic cross into the box and he should deal with it.
“But he has come here because he’s an outstanding goalkeeper and, I repeat, you don’t lose your talent. Players will succeed if they have confidence and part of my job is to help deliver that confidence to them.”
Team-mate Toure tipped Mignolet to respond from his recent rocky spell positively, telling the Liverpool Echo: “Simon will get through it as he is really strong mentally. I told him that the life of defenders and goalkeepers is like this.
“All keepers have sticky patches, but he is a strong guy and he knows he has a big part to play in the season. It’s not only Simon, everyone needs to react. The back four could have done better with everything.
“We know we have a strong defence as before we were keeping clean sheets. We will work on that in training and make sure we are better in the future.”
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