Preheat the oven to 375°F (190°C).
Cook pasta in salted boiling water until al dente and drain.
Heat olive oil and butter in a skillet over medium heat.
Add minced garlic and red pepper flakes and sauté briefly.
Add shrimp to the skillet and cook until pink on both sides.
Pour in lemon juice and white wine and simmer for 2 minutes.
Stir in heavy cream, salt, and black pepper.
Combine cooked pasta with the shrimp scampi sauce.
Transfer mixture to a greased baking dish.
Sprinkle Parmesan cheese evenly on top.
Bake for 20 minutes until bubbly and lightly golden.
Garnish with fresh parsley and serve warm.