01 - Set the oven to 325°F and allow it to reach temperature.
02 - Sprinkle short ribs with salt and black pepper. Heat olive oil in a large Dutch oven over medium-high heat. Brown ribs thoroughly on all sides, approximately 3–4 minutes per side. Remove and set aside.
03 - In the same pot, cook diced onion, carrots, and celery for 5 minutes until softened. Stir in minced garlic and tomato paste; cook an additional minute.
04 - Pour in red wine to loosen browned bits on the bottom. Simmer gently for 3–4 minutes to reduce slightly.
05 - Incorporate beef broth, fresh thyme, rosemary, and bay leaves. Return short ribs and accumulated juices to the pot, bringing mixture to a simmer.
06 - Cover the pot and transfer to the oven. Cook for 2.5 hours until meat is tender and falls from the bone.
07 - Remove pot from oven. Discard herbs and bay leaves, skim excess fat from surface. Optionally, simmer uncovered on stove 10–15 minutes to concentrate sauce.
08 - Bring water and salt to a boil in a saucepan. Gradually whisk in polenta. Reduce heat to low and cook, stirring frequently, until thickened and creamy, about 20–25 minutes.
09 - Stir in butter and grated Parmesan cheese. Adjust seasoning to taste.
10 - Spoon creamy polenta onto plates. Top with braised short ribs and sauce. Serve immediately.