Not 2 mouths just one opened really wide and showing messentrial filaments....why is the question..so how old is the tank what are water parameters and what kind of lighting??
I think it's just stressed from the move, anemones can be very temperamental. If you see any sign of infection then I would worry, if its mouth closes then attempt to offer it food, but for now try to keep everything as stable as possible so it can recover.