In a bowl, whisk together the eggs, mozzarella, and Parmesan until combined.
Add in the shredded carrots, chopped broccoli, garlic powder, onion powder, Italian seasoning, salt, and pepper. Stir until the veggies are well coated.
Heat a skillet over medium heat with a bit of oil.
Scoop out the mixture using a spoon and gently flatten into fritter shapes in the pan.
Cook each side for about 4 to 5 minutes until golden brown and crispy.
Transfer to a paper towel to drain any excess oil. Serve warm.