This dish always has us coming back for more! Making it for the 2nd time this week!

1 (3-4 pound) pork loin roast
1 (12-ounce) can or bottle of root beer
1 cup barbecue sauce
2 tablespoons olive oil
1 medium onion, sliced
3 garlic cloves, minced
1 teaspoon salt
1/2 teaspoon black pepper
1/2 teaspoon smoked paprika
1/2 teaspoon dried thyme