Preheat your oven to 375°F (190°C) and line a baking sheet with parchment paper.
In a mixing bowl, combine the shredded mozzarella cheese, softened cream cheese, grated Parmesan cheese, garlic powder, onion powder, Italian seasoning, salt, and pepper. Mix until all ingredients are well incorporated.
Open the package of crescent roll dough and separate it into four rectangles, pinching the seams together to make them solid squares. Remove any perforations.
Place about one tablespoon of the cheese mixture in the center of each rectangle. Make sure not to overfill, as it can cause the cheese bombs to burst while baking.
Fold the corners of each square toward the center to encase the filling completely. Pinch the edges to seal tightly.
Beat the egg in a small bowl and brush the tops of the cheese bombs with the egg wash to achieve a golden brown color when baking.
Place the stuffed and sealed cheese bombs on the prepared baking sheet, spacing them a couple of inches apart.
Bake in the preheated oven for 12-15 minutes, or until golden brown and puffed up. Keep an eye on them towards the end of the baking time to prevent burning.
Once out of the oven, allow the cheese bombs to cool for a few minutes before serving.