How to deal with roughing rabbits.

For a number of months, I have a small domesticated male rabbit that I've been taking care of. Just a few days ago, I was given a female rabbit that's twice the size of my domesticated one. When I put them on the same cage, they were roughing up one another (guessing the male wants to mate and the other one refuses). I placed them in separate cages in the backyard.

Now the problem is that the outside cages have no roof, unlike the single cage I have inside the house, and it's going to rain for a few days. I need to figure out how to get these two rabbits inside without them roughing up one another. Any help is appreciated. Tweet