The Liverpool manager believes his side deserved to go through in the semi-final and were better than Jose Mourinho's team over two legs.
A Branislav Ivanovic header at the start of extra-time gave Chelsea a 1-0 win on the night, and 2-1 on aggregate, sending the London side through to the final of the competition at Liverpool’s expense.
Liverpool though, were worthy opponents in both legs, with their failure to take their chances ultimately coming back to haunt them. In both games they were thwarted by several super saves from Chelsea keeper’ Thibaut Courtois, and Rodgers believes his side deserved to be in the final ahead of Mourinho’s side.
“I think we were the better side over the two games,” he said.
“Performance-wise we were outstanding. In the first half we created enough chances to maybe get a couple of goals but their keeper made some very good saves. Of course it hurts, because you put so much into it. I thought we gave Chelsea a lot of problems, but it wasn’t to be.”
Despite the game being a scintillating demonstration of attacking football from both sides, tempers threatened to boil over throughout, with Chelsea striker Diego Costa part of several big talking points.
The Spanish forward appeared to have escaped a red card for stamps on midfielder Emre Can and Martin Skrtel, before later being denied a penalty following a tackle from the defender.
And Rodgers has now condemned the striker for the stamps on his players, both of which referee Michael Oliver failed to spot.
“It was poor by him,” he added. “It’s disappointing when you see such a good player behave like that. There’s no need for it.”