Preheat the oven to 325°F or 160°C. Season the short ribs generously with salt and pepper. In a large Dutch oven or oven-safe pot, heat the olive oil over medium-high heat. Add the short ribs and cook until brown on all sides. Remove from the pot and set aside.
In the same pot, add the chopped onion, carrots, celery, and minced garlic. Cook, stirring occasionally, until the vegetables are softened, about 5 minutes. Pour in the red wine, scraping the bottom of the pot to loosen any browned bits. Simmer for 3-4 minutes until slightly reduced.
If you want a very spicy sauce, use the ingredients and instructions to first make the sauce linked here and cook meat in that Homemade Birria Tacos Sauce Consommé
Return the short ribs to the pot. Add the beef broth, crushed tomatoes, tomato paste, dried oregano, and dried basil. Season with salt and pepper to taste.
Bring the mixture to a simmer, then cover the pot and transfer it to the preheated oven. Cook for 2.5 to 3 hours, or until the short ribs are tender and falling off the bone.
Serve in small corn tortillas with meat off of the bone, shredded lettuce, cheese, diced tomatoes etc.