The Liverpool manager was full of praise for the Belgian 'keeper.
The Reds won courtesy of goals from Fabio Borini and Ricky Lambert to continue their fine form in the new year.
However, they were forced to withstand heavy pressure from the home side, with Mignolet in particular producing a fine save to deny striker Christian Benteke from a close range volley.
"I thought he [Mignolet] was outstanding," Rodgers is quoted as saying by FourFourTwo.
"He wasn't overly worked but he made two great saves when called upon.”
The Belgian stopper has come in for criticism from the Liverpool fans this season and was dropped in place of Brad Jones earlier in the campaign.
An injury to Jones has led to him starting the last five games though, and he has looked more assured than ever before, with Rodgers keen to compliment his number one.
"What was really pleasing was how dominant he was when they made the flat delivery into the box for Benteke, who is nearly unstoppable in the area,” enthused Rodgers.
"But I thought he got good contact - he was calm and composed and wasn't flustered.”
The victory at Villa Park leaves Liverpool unbeaten in six Premier League games and Rodgers is confident his side can continue with a sustained challenge for the top four and Champions League football.
"I said if we could get to the end of January and be somewhere near [the top four] we are capable of a run like last year to put us in there,” he said.
"It's still the objective. It's a real young, exciting team we have and with the football we played we could have had one or two more goals."