Season the pork shoulder evenly with sea salt, black pepper, cumin, oregano, and chili powder.
Heat olive oil in a skillet over medium-high heat and sear the pork on all sides until a golden-brown crust forms.
Transfer the seared pork to a slow cooker and add the minced garlic, chopped yellow onion, and orange juice.
Cover and cook on low for 7-8 hours until the meat is tender and shreds easily with a fork.
Remove the pork from the slow cooker, shred it with two forks, and return it to the skillet for 3-5 minutes to achieve crispy edges.
Warm the corn tortillas in a dry pan over medium heat until they are soft and slightly charred.
Divide the shredded pork evenly between the two warm tortillas.
Top the tacos with thinly sliced radishes, diced red onion, and fresh cilantro leaves.
Finish with a bright squeeze of fresh lime juice and serve immediately.