After the Reds' dramatic victory the pair were involved in an argument at the full-time whistle before both sets of players stepped in to pull apart the pair.
Rodgers played down the flashpoint, however, insisting "it was nothing".
"According to the guys, Andy Robertson celebrated and pushed him at the final whistle which he probably didn't expect!" he added.
"He was obviously annoyed at that and it leads to a melee. But it was nothing."