The Foxes were up 2-1 with 95 minutes on the clock before Steven Bergwijn scored twice to claim three points for Spurs.
"It was 93 minutes of really good work. We showed good resilience in defence. The goals we scored were terrific," Rodgers said.
"To concede the equaliser was disappointing to happen so late, but the winner was a very poor goal to concede. It is hard to not have taken anything from the game.
"It's managing the game. Fundamentally, we missed out on key moments leading to the second goal and the third goal, Youri (Tielemans) knows he can never make that pass, it was really naive from him.
"That was a great opportunity tonight, but you have to see that through. I don't think Tottenham won the game, we presented them the three points.
"It's bitterly disappointing but we have to get back on the training pitch and again for the weekend."