*echo's everything that Bolisnide said*

Also, if you can find it, I put my faith in Zoo med's repti wound-healing aid. Saved my little Percy's arm when the cat decided to "play" with him. It dosn't have any antibiotic in it, though, so this is a temporary thing to help stop any bleeding. But if you are not sure if the neosporin has any pain relievers in it, DO NOT CHANCE IT. Like Bolisnide said, it will kill him.

Your best move now, after moving him to a hospital tank, is to call a herp vet asap. If your frog isn't eating it probably means either infection or stress or your frog is in a LOT of pain. (my bet, all 3)

I also hope your not housing them together. Bearded Dragons get MUCH bigger then whites and its probable that the lizard saw the baby as food rather then a tank mate. Bearded Dragons are wonderful lizards but should not be housed with anything that could potentially scream "LUNCH" to them which includes anything they THINK can fit in there mouths, not what will but what they think will. Not to mention these guys often tear apart there pray if its too large. They should be housed with others of there kind (of relatively the same size) or alone.