Pat the pork shoulder completely dry first.
Season it generously with salt and pepper.
This creates a flavorful outer crust.
Heat olive oil in your Dutch oven.
Brown the pork on all sides evenly.
This takes about 10 minutes total.
Remove and set aside on a plate.
Add sliced onions to the same pot.
Cook until they become soft and golden.
Add minced garlic and cook 1 minute.
Pour in apple cider and chicken broth.
Add brown sugar, thyme, and bay leaves.
Stir everything together well.
Return the pork to the pot carefully.
The liquid should cover it halfway.
Cover with a tight-fitting lid securely.
Cook in a 325°F oven slowly.
Let it braise for 3-4 hours total.
The pork should fall apart easily.
Use a fork to test tenderness.
The internal temperature should reach 190°F.