It sounds like your rabbits are young, and if so, they likely haven’t been spayed or neutered yet. It’s not always easy to litter box train rabbits that haven’t been spayed or neutered. If you don’t want to put fleece blankets down and have to wash them, could you place some newspaper in their cage so that they don’t have to be on the wire? At least in one spot so that they will have something to lay on during the night. It’s not ideal, because if they pee on the paper, it will puddle up at first which means they may have wet feet, and the paper will stay wet for a while, but with newspaper, you can just throw it away and there isn’t anything to clean.
If your rabbits haven’t been spayed or neutered yet, and they are sharing one cage, you will have to separate them at some point. Usually at around 3 months of age. Even if they are the same gender, once they reach puberty they could start scuffling. Since rabbits are sometimes sexed incorrectly, you don’t want to take a chance on any accidental litters either.