Preheat the oven to 375°F (190°C) and line a baking sheet with parchment paper.
In a mixing bowl, combine the shredded mozzarella, shredded cheddar, all-purpose flour, egg, garlic powder, onion powder, paprika, salt, and black pepper. Mix until well combined.
Once the mixture becomes too difficult to mix with a spoon, use your hands to knead the ingredients until a smooth dough forms.
Shape the dough into small balls, about the size of a tablespoon, and place them on the prepared baking sheet.
Bake in the preheated oven for 15-20 minutes, or until the balls are golden brown and crispy.
Alternatively, for a fried version, heat oil in a deep pan and fry the balls until golden brown, about 2-3 minutes per batch.
Remove from the oven or oil and let cool slightly before serving.