This is to be expected - ask any parent, when a new sibling comes home, there is almost always a period of jealousy and adjustment.
Make sure you spend time "just" with your dog still, maybe make more of a point of it right now. Then, if he tries to jump up and get between you and the cage, firmly say "No." and tell him to "sit" or "down" whichever he knows best. Then ignore him until he does.
After you are done playing with the bunny, then you can initiate play time with your dog again. But make it clear to him that bunny time is bunny time, and his time is his time.
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