Borini was replaced by Suso at half-time after picking up an ankle injury, while Agger was carried from the field with 10 minutes remaining after sustaining a knock to his knee.
Rodgers told his post-match press conference: "Fabio had a badly swollen ankle and was struggling to put any sort of force on the floor, so we'll assess that tomorrow and see how he is. It looked badly bruised at half-time.
"Daniel Agger we'll need to wait and see. It didn't look so good with his knee, and some of the medics were saying he may have a problem with his medial ligament, but we'll to assess that over the next 24 hours and look at it again tomorrow."