Rub the pork shoulder evenly with sea salt, black pepper, ground cumin, and dried oregano.
Place the seasoned pork in a slow cooker along with the minced garlic and fresh orange juice.
Cover and cook on low for 7 to 8 hours or on high for 4 to 5 hours until the meat is completely tender and easy to shred.
Remove the pork from the slow cooker and shred it using two forks, discarding any large pieces of fat.
For a traditional finish, spread the shredded pork on a baking sheet and broil for 3 to 5 minutes until the edges become golden and crispy.
Warm the corn tortillas in a dry skillet over medium heat for about 30 seconds per side until pliable.
Divide the shredded pork evenly between the two warm tortillas.
Top each taco with finely diced red onion, chopped fresh cilantro, and thinly sliced radishes.
Serve immediately with a fresh lime wedge to squeeze over the top for a bright finish.