01 - Preheat oven to 400°F. Lightly grease a large baking dish with butter or cooking spray.
02 - Bring a large pot of salted water to boil. Cook pasta 2 minutes less than package directions. Drain well and set aside.
03 - In a large skillet over medium heat, melt butter with olive oil. Add garlic and shallot, sauté until fragrant, about 1-2 minutes.
04 - Add shrimp to the skillet. Season with salt, pepper, and red pepper flakes. Cook 2-3 minutes until just pink—do not overcook.
05 - Pour in white wine, scraping up any browned bits from the bottom of the skillet. Simmer for 2 minutes.
06 - Add lemon juice and zest, then stir in heavy cream. Simmer 2-3 minutes until slightly thickened. Remove from heat and stir in parsley.
07 - Toss the cooked pasta with the shrimp sauce and 2/3 of the parmesan cheese until evenly coated.
08 - Transfer the mixture to the prepared baking dish. Sprinkle mozzarella cheese and remaining parmesan evenly over the top.
09 - Bake for 15-18 minutes until the top is golden brown and sauce is bubbling. Let rest for 5 minutes before serving.
10 - Garnish with additional fresh parsley and serve with lemon wedges if desired.