Soak the rabbit carcass in cold water with vinegar for 2 hours.
Then remove from the marinade, dry, cut into portions. Rub each piece with salt and pepper.
Heat the olive oil in a small, refractory and heat-resistant pan with high sides, put the rabbit pieces, fry until golden brown, turning from time to time, no more than 2-3 minutes on each side.
Peel red onion and garlic. Cut the onion into feathers, crush the garlic lightly with a knife. Add the onion and garlic to the rabbit, fry for 1-2 more minutes.
Add cherry tomatoes and olives, stir. Fry 1 min. Add thyme, rosemary, sugar. Stir. Pour in the wine. Warm up 1 min. Remove from fire.
Cover with a lid or foil, and bake in an oven preheated to 180 ° C for 20 minutes. Remove from oven, let stand 10 minutes. and serve.