The Northern Irishman complimented his side's hunger as they dominated at Anfield while Martin Jol admitted that the defeat wasn't the end of the world for his side
Rodgers was thrilled with the way his side looked to press their opponents throughout the match, and was equally happy that they continued to perform throughout the 90 minutes.
"We played very well. Our appetite in the game was outstanding," he told reporters.
"We had a real hunger to get the ball and had over 30 shots on goal. It was a dominant performance which is very pleasing.
"Against Crystal Palace we were in a similar position but were too slow in the second half and the game just petered out.
"It was important not to do that because they have good players and if you're not aggressive enough they can get goals. For us it was about continuing to turn the screw and we did that."
The former Swansea manager failed to commit himself to labelling his club as genuine title contenders, but he did admit that there has been a notable change in his side since he arrived in 2012.
"When I first came here there was a real vulnerability in games like this. There seemed to be a real nervousness around the group for some reason.
"In time we've made sure we have a good mentality for these games. The focus is good and we're becoming relentless.
"That's what Liverpool is about. The energy and commitment to win games is there and that's a credit to the players."
Meanwhile Fulham manager Martin Jol was disappointed with the manner in which his side conceded their goals after Liverpool twice netted directly from set-pieces.
The Dutchman was too upset with the result, though, as he admitted that his side are unlikely to pick up points against the better sides in the league.
"If you go to the top sides, and I think Liverpool are a top side this season, you have to try and not concede goals. I think on the ball we looked OK in the first 20 minutes then we conceded a goal from a set-piece and then a second soon after," he said.
"We made it too difficult on ourselves to get a result so in the second half the only priority was to try and keep the score down.
"We like to get the results against the likes of Crystal Palace and Stoke, and against Manchester United and Liverpool with their quality you hope for a result but we couldn't get them. It's not the end of the world.
"Just before Southampton away we had a very good spell where we won three out of four against normal sides. You have to keep your head and get the points against these teams."