Sprinkle short ribs with salt and pepper, dredge lightly in flour and shake off excess flour before searing the meat for several minutes on all sides. Remove the short ribs and set them aside.
Add carrots, mushrooms, shallots, garlic, and rosemary. Cook for a minute and then add in broth and red wine, using a whisk to scrape off the bits in the bottom of the pot.
Add the short ribs back into the pot, cover with a lid, bake in the oven at 350 degrees for 3 hours.
Serve over polenta prepared according to box instructions. I add some chopped fresh rosemary and a small handful of grated Parmesan but it’s great plain too!