Bring a large pot of salted water to a rolling boil. Add the gnocchi and cook for 2-3 minutes, or until they float to the surface. Drain and set aside.

In a medium saucepan, melt 4 tablespoons of butter over medium heat. Whisk in ¼ cup of flour and cook for 1-2 minutes.

Slowly pour in 2 cups of milk while continuously whisking to avoid lumps. Cook for 5-7 minutes until thickened. Stir in garlic powder, onion powder, salt, and pepper.

Remove the saucepan from heat and stir in 2 cups of shredded cheese until fully melted.

Fold the cooked gnocchi into the cheese sauce until thoroughly coated.

Preheat the oven to 350°F (175°C). Grease a baking dish with butter and transfer the gnocchi and cheese mixture into the dish.

Sprinkle remaining shredded cheese on top, followed by a layer of breadcrumbs.

Bake for 20-25 minutes until the top is golden brown and bubbling.