Melt bacon drippings in a large Dutch oven over medium-high heat. Sear venison, in two batches, until nicely browned; transfer to a plate.
STEP 2
Add shiitakes, onions, and garlic; cook until softened, 1 to 2 minutes. Stir in wine, cognac, and bouillon cube, simmer 30 seconds to remove alcohol flavor and dissolve bouillon.
STEP 3
Add venison, bay leaves, rosemary, thyme, and black pepper. Bring to a boil, then reduce heat to low; simmer gently until venison is tender, about 2 hours or more, adding water as needed.
STEP 4
Add baby carrots during last 30 minutes of cooking. When venison tender, dissolve cornstarch in 2 tablespoons water and stir into sauce to thicken.