The Reds dominated the vast majority of the tie at Anfield, but slipped to a shock 2-0 loss due to late goals from the visitors.
Rodgers was happy with his team’s performance, and put the result down to a bad day at the office:
“The players gave everything. It was just one of those games with all those shots that we couldn’t make the breakthrough.” He told Sky Sports.
“We’ve been on a terrific run. I’m very disappointed with the goal. That first goal was crucial.
“I can’t fault the players though. We weren’t at our best but we were on the front foot for most of the game. It’s a good away performance from West Brom.
“If you can keep it to 0-0 you always have a chance. And Ben Foster has made some fantastic saves to keep them in the game.”
Moments before the Baggies took the lead, Steven Gerrard missed a penalty after Luis Suarez has been fouled in front of the Kop.
Rodgers refused to blame his skipper for the result, and insisted that he showed great bravery to take the spot-kick:
“He’s got the courage to get up and take it. There’s no blame. It was a good save.”
Gareth McAuley opened the scoring in the 80th minute with a header from a corner, which was only West Brom’s second effort on goal.
With the game stretched, second-half substitute Romelu Lukaku netted a late second, beating Daniel Agger before putting the ball past Pepe Reina.