Cook the pasta according to package instructions until al dente.
Preheat the oven to 350°F (175°C).
In a large skillet, heat the olive oil and butter over medium heat.
Add minced garlic and red pepper flakes; sauté until fragrant.
Add the shrimp, cooking until they turn pink and opaque.
Pour in the white wine; simmer for a few minutes to reduce slightly.
Stir in parsley, salt, and pepper; mix well.
Combine the cooked pasta with the shrimp mixture, mixing until coated.
Transfer the mixture to a greased baking dish; top with Parmesan cheese.
Bake in the preheated oven for 20-25 minutes or until bubbly and golden.
Let cool for a few minutes before serving.