Daniel Sturridge scored the only goal at Villa Park as the Anfield outfit matched their one goal victory over Stoke to sit second only on goal difference to Chelsea at this early stage in the campaign.
"It was a terrific win for us," Rodgers told Sky Sports 1.
"The first half we had good control of the game and scored an excellent goal and in the second half we just needed to defend a bit more deeply today.
"If we open up too much they can really hurt you. Our aim was to just to keep our lines tight together and deny them many chances. It was a good win for us as this is a difficult team to play against.
"We looked calm on the ball in the first half some of our momentum was very good, our positioning was good, our mentality was good.
"In the second half you expect more pressure from them but overall Simon (Mignolet) has made a couple of terrific saves and we got three points."
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