The Reds boss was facing the club he left in the summer for the first time and would have been hoping for a positive result before kick-off.
The likes of Joe Cole, Stuart Downing and Jamie Carragher were all handed starting spots as Rodgers shuffled his pack following last weekend’s 2-2- draw with Everton.
The Anfield chief’s decision to rest a number of key players came back to haunt him as his former side snatched the victory to eliminate the league cup holders.
However, Rodgers was gracious in defeat:
“I thought the best team won. I thought we were slow in the first half. It took the introduction of Steven Gerrard and Luis Suarez.” He told SkySports after the match.
“Obviously we made a lot of changes but I just felt the tempo and the intensity of our game was way too low.
“It is no surprise, I know Swansea inside out, so I know the brightness and quality they have.”
The Swans took the lead mid way through the first-half, as centre-half Chico headed in his first for the club.
The Welshmen continued their dominance in the second period and doubled their lead courtesy of a Nathan Dyer tap in after 72 minutes.
Luis Suarez, pulled one back for the hosts after coming off of the bench, but Jonathan de Guzman put the game to bed with a late goal.