BBQ Pulled Pork Sandwich

Name: BBQ Pulled Pork Sandwich
Ingredients: 1 cup ketchup; 1/3 cup brown sugar; 1/3 cup apple cider vinegar; 2 teaspoons Worcestershire sauce; 1/4 teaspoon cayenne; 1/4 teaspoon red pepper flakes; Pinch salt and freshly ground black pepper; 2 tablespoons paprika; 1 tablespoon dried oregano; 1 tablespoon freshly ground black pepper; 1 tablespoon brown sugar; 2 teaspoons salt; 1/2 teaspoon cayenne; One 2 1/2-pound boneless pork shoulder, excess fat trimmed; 1 tablespoon apple cider vinegar; 1 teaspoon granulated sugar; 1 1/2 tablespoons fresh parsley leaves, chopped; 2 carrots, shredded; Salt and freshly ground black pepper