Step 1

Whisk together the chile powder, salt, paprika, garlic powder, onion powder, black pepper and 2 tablespoons of the brown sugar in a small bowl until completely combined and no lumps remain. Spread the spice rub evenly over the pork butt, pressing it into the flesh on all sides. Let the pork sit at room temperature for at least 1 hour or wrap tightly with plastic wrap and refrigerate for up to 48 hours.

Step 2

Position a rack in the lower third of the oven and preheat to 275 degrees F.

Step 3

Whisk together the barbecue sauce, apple cider, ketchup, mustard, Worcestershire sauce and the remaining 1/2 cup brown sugar in large Dutch oven or other heavy large pot until combined. Transfer the pork and any accumulated juices to the pot, turning the pork to coat it with sauce. Bring the sauce to a boil over medium-high heat. Then cover, transfer to the oven and bake until the pork is very tender and easily shreds when pulled apart with a fork, 3 to 3 1/2 hours. Let the pork cool uncovered for 30 minutes.

Step 4

Reserve 1 cup of the sauce for serving, then smash the pork into the remaining sauce with a potato masher; it should fall apart and shred completely. Stir to combine the pork with the sauce. Serve on toasted potato rolls topped with coleslaw. Pass the reserved sauce.