Preheat Oven:

1. Preheat your oven to 375°F (190°C).

Cook Pasta:

1. Cook the pasta according to the package instructions until al dente.
2. Drain and set aside.

Sauté Aromatics:

1. In a large skillet, melt the butter over medium heat.
2. Add the minced garlic and red pepper flakes, and sauté for about 1 minute until fragrant.

Cook Shrimp:

1. Add the shrimp to the skillet and cook for 3-4 minutes, or until pink and opaque.
2. Remove the shrimp and set them aside.

Prepare Sauce:

1. Pour the white wine (or chicken broth) into the skillet, scraping up any browned bits from the bottom of the pan.
2. Let it simmer for 2 minutes.

Combine Flavors:

1. Stir in the lemon juice, lemon zest, and heavy cream.
2. Bring the mixture to a gentle simmer.

Toss Pasta:

1. Add the cooked pasta to the skillet and toss to coat in the creamy sauce.
2. Season with salt and pepper to taste.

Assemble Dish:

1. Transfer the pasta to a large baking dish, spreading it evenly.
2. Arrange the cooked shrimp on top.

Add Cheese:

1. Sprinkle the grated Parmesan and shredded mozzarella over the pasta and shrimp.

Bake:

1. Place the dish in the preheated oven and bake for 15-20 minutes, or until the cheese is melted and bubbly.

Garnish and Serve:

1. Remove from the oven and garnish with chopped fresh parsley.
2. Serve immediately.