Method
In a food processor combine orange juice, mint, cilantro, and garlic; pulse until everything is finely chopped.
Pour the mixture into a large zip-top bag and add the olive oil, orange zest, lime juice, oregano, cumin, and salt and pepper.
Add the pork to the bag and press/smoosh the marinade around the meat to coat evenly.
Marinate in the refrigerator for 24 hours.
Preheat the oven to 425°F (220°C). Place the pork on a wire rack set over a rimmed baking sheet.
Roast at 425°F for 30 minutes, then reduce the oven temperature to 375°F (190°C).
Continue roasting until the pork reaches at least 160°F (71°C) internal temperature; for very tender, shreddable pork cook longer (target 185–200°F).
Transfer the pork to a cutting board and let rest for 20 minutes before slicing or shredding.
Season with additional salt and pepper as needed and serve. Great for Cubano sandwiches or as a main with rice and beans.
Notes
For very tender pork, foil-wrap the pan when the roast reaches 160°F and continue cooking to about 185–200°F. Recipe adapted from The Food Charlatan. Ideal for Cubano sandwiches.