Youri Tielemans opened the scoring for the Foxes but their top-four hopes were dented, with Harvey Barnes now set to be out for at least six weeks with a knee injury after being carried off during a miserable afternoon.
“It’s not good news, it looks like he needs to go for an operation so he will probably be a minimum of six weeks,” Rodgers said, with the Foxes third in the top flight.
“He has had niggles with it, which is why we rested him on Thursday, but unfortunately it’s a bad one for him and a huge blow for us.
“We’re down to the bare bones, we’ve carried it all season and the players have been great but even when we got the first goal they had the greater energy.
“We have suffered with it a lot, we’ve had to get through it but when you are missing the influential players it makes it more difficult.
“It’s a disappointing one and now we have to go away and face the challenge of finding a way to win the next game.”