The Foxes could not stick to their guns to beat Ryan Mason’s side at the King Power Stadium as they succumbed to a 4-2 defeat on Sunday.
A win could have given Leicester a spot in next season’s Champions League but instead fell short on the final day just like last season.
Leicester took the lead through Jamie Vardy on the penalty spot just 18 minutes into the game, but Harry Kane gave the visitors a deserved parity four minutes before halftime.
Vardy restored Leicester’s lead with his second penalty on 52 minutes and Spurs once again equalized after an own goal from Kasper Schmeichel on the 76th minute mark.
Gareth Bale came from the bench to win the game for the Londoners with two late goals to shatter Leicester’s dream of securing top four.
“It's hugely disappointing for us. We fought so hard all season. I always said you’re judged after 38 games and unfortunately we couldn’t quite make it,” Rodgers said after the game.
"I have nothing but pride and admiration for the players. They've constantly had things go against them with injuries. If you look at the importance of the players out today, we were able to take it down to the last game and the last 15 minutes.
"The biggest factor [in losing Wesley Fofana] is we lose that extra height and presence in set-piece moments. Usually we have Jonny [Evans] and Wesley, good presence and we conceded from two set-pieces.
"I said to the players before the game we’ve been playing non-stop - except for 21 days - for two years. When we started work together we were mid-table and just over two years later we’re challenging the elite and won the FA Cup for the first time in our history and we’re on the right path without the resources [of other teams].
"I have nothing but pride. The ownership have given me amazing support. The players have given me their heart and souls every day. I’m so disappointed for them we couldn't get over the line.
"The fans pushed us through in the FA Cup final. It's brilliant to have them back in again and sorry we couldn’t get over the line. We’ll prepare even harder for next season.
"I’ve always said [the other scores are] not relevant. You have to look after your own score and unfortunately we couldn't.
"We need a period to go away and recover and relax a little bit. Premier League management is intense. We have work to do to improve the squad and come back early July motivated."