1. Preheat your oven to 300°F (150°C).
2. Season the pork shoulder with salt, pepper, cumin, and oregano.
3. Heat a Dutch oven over medium-high heat and sear the pork on all sides until browned.
4. Add minced garlic, orange juice, and chicken broth to the pot. Bring to a simmer.
5. Cover the pot and transfer it to the oven. Cook for about 3 hours, or until the pork is tender and easily shredded.
6. Remove the pork from the pot and shred it using two forks.
7. Return the shredded pork to the pot and mix it with the juices.
8. Serve the pork carnitas on tortillas, topped with chopped cilantro, onion, and lime wedges.