Both would lose. The raccoon would be killed by the badger but the badger would end up being infected with rabies and die a week or two later.
the badger would win
The raccoon would.
a raccoon has sharp claws+teeth and would win
I would say a wolverine but maybe a badger could win every so often.
A badger would probably win. Badgers are generally larger and not as good natured as otters.