Add the pork shoulder chunks, sliced yellow onion, and minced garlic to the slow cooker.
Sprinkle the cumin, oregano, chili powder, salt, and black pepper over the pork.
Pour the chicken broth into the slow cooker.
Cover and cook on low for 8 hours until the pork pulls apart easily with a fork.
Shred the pork directly in the slow cooker using two forks and stir it into the juices.
Warm the corn tortillas and fill each with a portion of the shredded pork.
Top with chopped cilantro, diced white onion, and a squeeze of lime.