Season short ribs with salt and pepper generously.
Heat olive oil in Dutch oven over medium-high heat.
Brown ribs on all sides for 8-10 minutes total.
Remove ribs and set aside on plate temporarily.
Add onions, carrots, and celery to same pot.
Cook vegetables until softened, about 5-7 minutes stirring.
Add garlic and tomato paste, cook 1 minute.
Pour red wine, scraping up any browned bits.
Return ribs to pot with stock and herbs.
Bring to gentle simmer, then cover tightly.
Transfer to 325°F oven for 2.5-3 hours.
Check tenderness with fork before serving hot.