Preheat oven to 375 degrees F and grease a 7×11-inch baking dish with the 2 tablespoons melted butter.
Separate rolls and cut an X into the top of each one, careful not to cut through the bottom. Use the handle of a wooden spoon to widen the hole, making room for the filling. Arrange rolls evenly in the baking dish.
In a small bowl, beat cream cheese until smooth. Mix in 1 1/2 cups mozzarella, minced garlic, and 1 ½ teaspoons Italian seasoning.
Transfer cream cheese mixture into a piping bag or large ziplock with the corner snipped. Starting at the base of the hole, fill the rolls to the top with the cheese mixture. Alternatively, you can spoon the filling into the rolls, but we’ve found the bag method works best.
In another small bowl, mix together remaining melted butter, 1 ½ teaspoon Italian seasoning, and garlic powder. Pour butter mixture over rolls.
Top with remaining mozzarella and parmesan cheese.
