Preheat oven to 325 degrees F.
Season short ribs generously with salt and pepper.
Heat olive oil in a large Dutch oven over medium-high heat. Sear short ribs on all sides until deeply browned, about 3 to 4 minutes per side. Remove and set aside.
Add onion, celery, and carrots to the pot. Cook until softened, about 5 minutes.
Add garlic and tomato paste. Cook 2 more minutes.
Pour in wine and broth, scraping up any browned bits. Add herbs.
Return short ribs to the pot. Cover and braise in the oven for 2.5 to 3 hours until meat is fork-tender.
Remove ribs. Strain and reduce braising liquid for a sauce.
Serve ribs with the reduced braising liquid.