Apple-Smoked Pulled Pork Sandwiches - Fosseen's Home and Hearth

Ingredients

• 1 tablespoon packed dark brown sugar
• 1 tablespoon kosher salt
• 2 teaspoons paprika
• 1 teaspoon granulated garlic
• 1 teaspoon prepared chili powder
• 1 teaspoon chipotle chile powder
• 1 bone-in pork shoulder roast (Boston butt), 5½ to 6 pounds, trimmed of excess fat
• 1 tablespoon unsalted butter
• ½ cup minced yellow onion
• 1 cup ketchup
• 1 cup unsweetened apple juice
• ½ cup cider vinegar
• 2 tablespoons packed dark brown sugar
• 1 tablespoon unsulfured molasses
• 1 tablespoon soy sauce
• ½ teaspoon hot pepper sauce, or to taste
• ⅓ cup mayonnaise
• 3 tablespoons sour cream
• 2 tablespoons cider vinegar
• 1 tablespoon granulated sugar
• ¾ teaspoon kosher salt
• ¼ teaspoon freshly ground black pepper
• ½ medium head green cabbage, thinly sliced (about 4 cups)
• 2 medium carrots, peeled, coarsely grated (about 1 cup)
• 12 hamburger buns, split
• 6 large handfuls apple wood chips
• 1 large disposable foil pan
• instant-read thermometer