Preheat the oven to 350°F (175°C).
In a large mixing bowl, combine the chopped cabbage, cauliflower, and shredded carrots.
In a separate bowl, mix together the cream of mushroom soup, milk, garlic powder, onion powder, black pepper, salt, and paprika until well combined.
Pour the soup mixture over the vegetables and stir until everything is evenly coated.
Transfer the mixture to a greased 9x13-inch baking dish.
Sprinkle the shredded cheddar cheese evenly over the top.
In a small bowl, mix the breadcrumbs with olive oil until they are well coated. Sprinkle the breadcrumb mixture over the cheese layer.
Bake in the preheated oven for 30-35 minutes, or until the top is golden brown and the vegetables are tender.
Let cool for 5 minutes before serving.