Hi there, welcome
Sorry you are having a rough go of it.
I agree that it would help to let them cool off. At minimum, you need to make absolutely sure they cannot nip at each other through their cages.
Is it possible to keep them in separate rooms? If not, you need to modify their cages so they cannot nip each other. A few cm might not be enough space, depending on how big the bars are. You can get a material called hardware cloth (it’s a small grid metal mesh, I believe 1/4″ or 1/2 cm is good to use) and use that to line the edges of shared walls so they cannot nip each other.
You also need to make sure they cannot get at each other while getting their exercise time. NIC cube grids and x-pens can be used to divide the space with a buffer to make sure they cannot nip.
Basically every time they can nip at each other through the cages or fence, it will set you back a bit. All is not lost, but they do need time to heal and cool off, and to rebuild trust.
Bonding requires the buns to trust each other, and learn that the other bun is not a threat. If you have the ability to set up their pens in a way that they cannot nip each other, you still might be able to bond them, it will just take some time and patience to rebuild their trust.
Even if you cannot bond them, if you improve their set-up so they cannot nip each other, then you should be able to keep them happily as neighbors.
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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.