Cut bison short ribs into 1-bone portions. Dice vegetables.
Coat short ribs evenly with salt & pepper and sear in sauté pans until golden brown on both sides. Transfer to a roasting dish.
In a pot, reduce red wine until alcohol is cooked off. Deglaze sauté pans with this as needed.
Add celery, onion, carrot, peppercorns, thyme, reduced wine, and enough water to cover meat in the pan. Cover with foil and braise at 325°F until tender for 3–4 hours.
Reserve braising liquid for sauce.
Red Wine Sauce
Place all ingredients in a medium pot.
Simmer until desired consistency, approximately 15 minutes.