At the end of the game they left the field to applause from both sets of supporters.
Rodgers said: "Respect to the Anfield supporters, because I don't think there are many teams who walk off here and get a round of applause from the Anfield support. That marked the level of our performance.
"Our idea was to frustrate the crowd. The Liverpool supporters know their football, and they know when a team can play, and they were very, very good.
"They were obviously frustrated with their own team at times but they showed a little moment of class at the end."