Villa came from behind to win 2-1 at Wembley as strikes from Christian Benteke and Fabian Delph cancelled out Phillipe Coutinho’s opener.
Liverpool entered the contest as strong favourites, leading their opponents by 25 points in the Barclays Premier League, but Villa deserved their victory after a dynamic and dominant display.
“We’re obviously bitterly disappointed but more with the performance,” Rodgers said.
“You can always lose a game but you need to play well and give yourself an opportunity.
“We had some chances but I thought they were better than us today to be honest.”
Rodgers continued: “Sometimes you can want to win too much. The focus comes away from what allows you to win.
“The team in the last couple of years have shown great energy, attitude and commitment – I thought our energy was low today.