1. Preheat your oven to 325°F (165°C).
2. Heat the olive oil in a Dutch oven over medium-high heat. Brown the pork shoulder on all sides.
3. Remove the pork and set aside. In the same pot, add the chopped onion and minced garlic, cooking until softened.
4. Pour in the red wine, scraping up any browned bits from the bottom of the pot. Let it simmer for a few minutes.
5. Add the chicken broth, crushed tomatoes, oregano, basil, salt, and pepper. Stir to combine.
6. Return the pork shoulder to the pot, cover, and transfer to the preheated oven. Braise for about 3 hours, or until the pork is tender and easily shredded.
7. Remove the pork from the pot and shred it with two forks. Return the shredded pork to the pot and stir to combine with the sauce.
8. Serve hot, with your favorite sides or over pasta.