Hi there, welcome
A bit more info will help us figure out how to improve his behavior. Overall he sounds like he’s bored, so needs more exercise and activity, not less.
Can you clarify what you mean by misbehaving? Do you mean he’s scratching and biting at the bars of his cage when he’s inside it?
Can you also describe more how much space he has, and if he ever gets time to free-roam? If he’s used to getting some free-roam time, but isn’t, that is probably making him bored and frustrated. Some bunnies also compulsively dig or scratch at the corner of their cages… but I wouldn’t really classify it as misbehaving, because it isn’t destructive necessarily. One of my buns will dig in the corner of his cage (on tile, so he isn’t going anywhere….), even when he has free-roam. I think it was something he learned from a previous owner when he might have been confined to a cage too much? Not sure.
It sounds like he is wanting to be let out to run around. If that’s the case, leaving him locked up in his cage more will make him more frustrated. Rabbits don’t really understand punishment. You may just need to reinforce his pen so he can’t escape (even if he tries very hard).
Rabbits usually do well with a routine, that involves giving them exercise when they are most active (morning, evenings, night time), and lots of things to chew on to keep them busy.
My friend is a dog trainer and walker, and he always says, “a tired dog is a happy dog”, and I think the same thing applies for bunnies (and probably all pets…). Of course people don’t want to reward negative behaviors, so you have to try get ahead of the game and give more exercise before he starts acting up.
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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.