Reduce heat to medium-low, cover, and simmer for 1 hour. Remove meat, shred with a fork (discarding bones and skin), and return the meat to the pot.
Stir in the brown sugar and apple cider vinegar until sugar dissolves. Add the chopped greens in batches, allowing them to wilt into the broth.
Ensure greens are submerged (add more stock if needed). Cover and simmer on low for another 1 to 1.5 hours until greens are tender. Adjust seasoning with salt or hot sauce before serving.
Notes
This recipe tastes even better the next day after the flavors have melded. Serve with warm cornbread for the best experience.