Preheat the oven to 375°F (190°C). Line a baking sheet with parchment paper. In a large mixing bowl, combine the shredded mozzarella, chopped bell peppers, cherry tomatoes, cooked quinoa, dried oregano, salt, and pepper. Drizzle in 1 tablespoon of olive oil and mix thoroughly until all ingredients are evenly incorporated, forming a sticky mixture.
Using a tablespoon or cookie scoop, portion out the mixture and shape it into small, flat rounds on the prepared baking sheet. Flatten each to about 1/2 inch thickness, leaving space between each circle for even cooking.
Brush the tops of each veggie pizza bite with the remaining 1 tablespoon of olive oil for a golden finish. Place the baking sheet in the preheated oven and bake for 15-20 minutes, or until the edges are crispy and golden brown, and the cheese has melted.
Remove from the oven once bubbling and cooked through, with crispy edges and melted cheese visibly set. Let cool for a few minutes on the baking sheet, allowing the bites to firm up slightly.
Transfer the veggie pizza bites to a serving plate. Serve warm or at room temperature, optionally garnished with fresh herbs or additional toppings. Enjoy the crunchy, cheesy interior with vibrant vegetable flavors.