Cut the pork shoulder into large 4-inch chunks and place in a large bowl.
Add salt, cumin, chili powder, garlic powder, dried oregano, onion powder, and black pepper. Toss together until the meat is fully coated.
Add the lime juice and chicken broth to the pressure cooker.
Add the pork, then lock the lid and seal the steam release vent.
Pressure cook on high for 40 minutes, then let the pressure naturally release for 15 minutes.
Manually release the remaining pressure by opening the steam release vent.
Open the lid and shred the meat with two forks. Serve immediately or make the carnitas crispy by following the remaining instructions.
To crisp up the carnitas, transfer the shredded meat to a large baking sheet with about 1/3 cup of the juices. Place under an oven broiler for 5 minutes, stir, and broil for 5 more minutes.
Mix in freshly chopped cilantro and lime juice. Serve in tacos, gorditas, tostadas, burrito bowls and salads.