Place the pork shoulder roast into the slow cooker.
Pour the salsa verde and chicken broth over the pork.
Sprinkle the cumin, oregano, salt, and black pepper on top of the meat.
Cover and cook on low for 8 hours until the pork is very tender.
Remove the pork from the slow cooker and shred it with two forks.
Return the shredded pork to the slow cooker and stir it into the juices.
Warm the corn tortillas and fill each one with the carnitas.
Top with chopped cilantro and serve with lime wedges.