I’m sorry to hear that you are having these difficulties– it’s fortunate that no injuries have occurred outside fluff-loss.
It is possible that the rabbits were not properly bonded or the bond they had was not very secure. Transitioning to a new environment can tense a bond, but we typically do not see it dissolve to fights-through-a-pen-wall level. While unfortunate, you likely need to go through re-bonding the rabbits. If they indeed were bonded before, it hopefully will not take as long to progress through the steps. See here for a bonding overview: https://binkybunny.com/infocategory/bonding/ .. essentially, you want the rabbits to establish comfort/hierarchy in a neutral space, and then progress to semi-neutral (where both rabbits have been before/the shared space). During bonding, you do need to house them separately. You should have a gap between their spaces so no nipping can occur through the pen wall.
As a side note– is one of the rabbit’s molting? This can potentially explain fur fluff everywhere, though unlikely based on your described context.
The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.