Oven Roasted Pulled Pork and Barbecue Sauce

Name: Oven Roasted Pulled Pork and Barbecue Sauce
Ingredients: 1 6 pound pork shoulder; 1 Tablespoon kosher salt, or to taste; 2 teaspoons pepper, or to taste; 6-8 cloves garlic, slightly crushed; 3/4 cup water; 1 cup ketchup; 8 ounce can tomato sauce; 2 Tablespoons white vinegar, or more to taste; 1 Tablespoon apple cider vinegar; 1 Tablespoon brown sugar, or to taste; 2 teaspoons white sugar; 3/4 teaspoons kosher salt; 1/2 teaspoon freshly ground black pepper; 2 teaspoons hot sauce, or to taste