Preheat an oven to 325°F. In a Dutch oven, heat 2 Tbs. of the oil over medium-high heat. Season the short ribs with 2 tsp. salt and the pepper. In batches to avoid crowding, add the short ribs to the pot and cook, turning occasionally, until browned on all sides, 5 to 6 minutes per batch. Transfer to a plate. Add the remaining 1 Tbs. oil to the pot and heat. Add the onion and carrots and cook, stirring occasionally, until the onion softens, about 5 minutes. Stir in the garlic and cook until fragrant, about 1 minute. Sprinkle in the flour and stir well. Slowly stir in the wine, then the stock. Stir in the tomato paste, rosemary and bay leaf. Return the short ribs to the pot. The short ribs should be barely covered with liquid. If not, add hot water as needed. Bring the liquid to a boil. Cover the pot, place in the oven, and cook, moving the position of the ribs every 45 minutes or so to be sure that they are covered with liquid and are cooking evenly, until very tender, about 2 1/2 hours. Transfer the ribs to a deep serving platter and tent with aluminum foil to keep warm. Let the cooking liquid stand for 5 minutes. Skim off the fat from the surface and discard. Bring to a boil over high heat. Cook, stirring, until reduced by about one-fourth, about 10 minutes. Discard the bay leaf. Return the short ribs to the pot.

[NOTE: The original Williams-Sonoma recipe includes polenta. Vicky served the short ribs with cauliflower mashed potatoes.]