Place the broccoli, eggs, shredded cheddar cheese, mozzarella cheese, breadcrumbs, chopped onion, minced garlic, salt, pepper, and vegetable oil in a bowl.
Stir the mixture until everything is well combined.
Preheat your oven to 400°F.
Lightly grease a baking sheet with cooking spray or oil.
Scoop about a tablespoon of the mixture and form it into a small ball or patty. Place it on the prepared baking sheet.
Bake the broccoli bites for 20-25 minutes, or until golden brown.
Allow the bites to cool slightly before serving. Enjoy with your preferred dipping sauce.