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Step 1
If you have a food processor: Add the orange juice, cilantro leaves, mint leaves, and smashed (not minced) garlic cloves, and pulse until everything is finely chopped. Add this mixture to a ziplock bag, along with the rest of the oil, zest, lime juice, oregano, and cumin.
Step 2
If you don't have a food processor: In a large ziplock bag, combine olive oil, orange zest, orange juice, lime juice, chopped cilantro, chopped mint, minced garlic, oregano, and cumin. Shake it around a bit to mix it up, then add the pork shoulder.
Step 3
Place the zipped up bag in a baking dish, and put it in the fridge overnight, or several hours at least.
Step 4
Preheat oven to 425 degrees F. Place a wire rack (I used a cooling rack) over a rimmed baking sheet.
Step 5
Place the pork on the rack and discard the marinade. Salt and pepper the pork well.
Step 6
Roast the pork for 30 minutes. It should be lightly browned.
Step 7
Turn the oven down to 375 degrees F. Roast for another 1 hour and 20-30 minutes, or until a meat thermometer reads 160.
Step 8
Transfer to a cutting board, cover with aluminum foil and let rest at least 20 minutes.
Step 9
Carve against the grain and serve.