The Reds failed to make their dominance count as the Tigers held firm to come away from Merseyside with a share of the spoils in the Premier League encounter.
Despite concerns over the freshness of his players after Wednesday's 3-0 defeat to Real Madrid in the Champions League, Rodgers believes that they put in an impressive display.
"Performance-wise we were excellent, particularly in the second half where we were outstanding," he told BBC Sport. "After a tough game in midweek it was a great effort from the players and we deserved to win the game.
"I thought it was just a matter of time until we scored. We created some opportunities and had 19 shots at goal. I can't ask for any more from the players, they've given everything."
Liverpool are back in action on Tuesday when they entertain Swansea City in round four of the League Cup.