This was the first dish I made when my parents kindly bought the dutch oven requested on our wedding registry. It's the type of dish where the versatility of a Dutch oven truly shines. The best part is that all the delicious baked on flavor that gets attached to the pot cleans up beautiful with the enameled surface.
Preheat oven to 350°. Season short ribs with salt and pepper. Heat oil in a large Dutch oven over medium-high. Working in 2 batches, brown short ribs on all sides, about 8 minutes per batch. Transfer short ribs to a plate. Pour off all but 3 Tbsp. drippings from pot.
Add onions, carrots, and celery to pot and cook over medium-high heat, stirring often, until onions are browned, about 5 minutes. Add flour and tomato paste; cook, stirring constantly, until well combined and deep red, 2–3 minutes. Stir in wine, then add short ribs with any accumulated juices. Bring to a boil; lower heat to medium and simmer until wine is reduced by half, about 25 minutes. Add all herbs to pot along with garlic. Stir in stock. Bring to a boil, cover, and transfer to oven.
Cook until short ribs are tender, 2–2½ hours. Transfer short ribs to a platter. Strain sauce from pot into a measuring cup. Spoon fat from surface of sauce and discard; season sauce to taste with salt and pepper. Serve with pasta, potatoes, or by themselves for a great meal!