Allow the venison roast to come to room temperature for 20-30 minutes on the counter before cooking.
Begin by heating a large pan over medium-high heat. Add 2 tablespoons of the butter, allow it to sizzle for a minute or two and add the roast to the hot pan. Sear the roast on all sides and place it into the bottom of a slow cooker when seared. Remove the pan from the heat but do not discard.
Top the roast with the carrots and onions.
In the pan you seared the meat in, add the remaining tablespoon of butter and the garlic. Let the garlic cook for 1 minute before adding the tomato paste, flour, Herbs de’ Provence, salt and pepper. Cook for 2-3 minutes.
Deglaze the pan with the beer, stock, apple cider vinegar and Worcestershire sauce, whisking together to break up any lumps. Allow it to reduce for 5-7 minutes to thicken and cook off alcohol.
Pour the mixture over the roast, carrots and onions, allowing the roast to remain on the bottom of the slow cooker.
Cook for 8-9 hours on low until the meat is falling apart tender. If it isn’t tender, cook longer and baste the meat.
Serve over mashed potatoes, polenta, grits, risotto, roasted veggies – the options are endless.