The Liverpool manager wants to see his side progress as far as possible.
The manager has insisted that their Capital One Cup exit at the semi-final stage to Chelsea last week is now a driving force for them to succeed in the FA Cup instead.
The Reds were eliminated at Stamford Bridge courtesy of a Branislav Ivanovic header in extra-time, but take on Bolton Wanderers in an FA Cup fourth-round replay looking to progress in that tournament instead.
The late defeat to Jose Mourinho’s side is their only loss in 12 matches in all competitions and now their manager has backed his side to use the pain from that defeat to spur them on to a Wembley final in the FA Cup instead.
"Obviously after that game [against Chelsea], there's a feeling that maybe it would disrupt or provoke a negative reaction to our season," Rodgers said.
“Of course we wanted to get through to the final. But the performance level over the two games and leading into those games has given us great encouragement that our best football is yet to come."
FA Cup won't be an easy ride
However, the manager has acknowledged that there are still good teams left in the tournament, despite both Manchester City and Chelsea exiting in this round, and that Liverpool will have to focus in order to progress.
He also said that his team is desperate to get as far as they can, though they do also have their eye on the upcoming latter stages of the Europa League as well.
"There are still good teams in it [the FA Cup]. As I said, it only counts if we get through ourselves,” he added.
"We're in two competitions now [the FA Cup and the UEFA Europa League]. Two cup competitions and we want to go as far as we possibly can in them. That will be reflective in our teams and in our drive and desire to get through in the competition."