01 - Preheat oven to 400°F. Lightly grease a large baking dish with cooking spray or butter.
02 - Cook pasta in salted boiling water 2 minutes less than package directions. Drain and set aside—it will finish cooking in the oven.
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 pan. Simmer for 2 minutes to reduce slightly.
06 - Stir in lemon juice and zest. Add heavy cream and simmer 2-3 minutes until slightly thickened. Remove from heat and stir in parsley.
07 - Add cooked pasta to the shrimp sauce along with 2/3 of the parmesan. Toss until pasta is evenly coated.
08 - Transfer mixture to the prepared baking dish. Sprinkle mozzarella and remaining parmesan evenly over the top.
09 - Bake for 15-18 minutes until the cheese is golden and bubbling. Let rest 5 minutes before serving to allow the sauce to set.
10 - Garnish with extra fresh parsley and serve with lemon wedges on the side if desired.