01 - Preheat oven to 325°F.
02 - Season short ribs with salt and pepper. Heat olive oil in a large Dutch oven over medium-high heat and sear ribs on all sides until browned, about 3 to 4 minutes per side. Remove and set aside.
03 - In the same pot, cook onion, carrots, and celery for 5 minutes until softened, stirring occasionally. Add garlic and tomato paste, cooking for 1 minute.
04 - Pour in red wine, scraping browned bits from the bottom. Simmer for 3 to 4 minutes to reduce slightly.
05 - Add beef broth, thyme, rosemary, and bay leaves. Return short ribs with accumulated juices to the pot and bring to a simmer.
06 - Cover and place the pot in the oven. Braise ribs for 2 hours and 30 minutes until meat is tender and falling off the bone.
07 - Remove pot from oven. Discard herbs and bay leaves. Skim excess fat from surface. Optionally, simmer uncovered on stovetop for 10 to 15 minutes to thicken 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 thick and creamy, about 20 to 25 minutes.
09 - Stir butter and Parmesan cheese into polenta. Adjust seasoning to taste.
10 - Plate the polenta and top with braised short ribs and sauce.