For the pork carcass with calvados and honey, rinse the pieces of meat with cold water and pat dry. For the marinade, stir the tomato paste with a little red wine.
Mix with the remaining red wine, honey and calvados and season with salt and pepper. Place the carrot slices in a bowl, pour the marinade over them and mix well.
Cover the bowl with plastic wrap and refrigerate the carrot slices for 1-2 hours.
Prepare the grill for indirect heat. Grill the marinated slices of carrot at approx. 180 °C.