Cook linguine according to package directions. Drain and set aside.
Season chicken and shrimp with Cajun seasoning, salt, and pepper.
In a large skillet over medium-high heat, melt butter and olive oil.
Cook chicken until golden and cooked through, about 4-5 minutes per side. Remove and slice.
Add shrimp to the skillet and cook 2-3 minutes until pink and opaque. Remove and set aside.
Add minced garlic to the skillet and cook for 30 seconds until fragrant.
Deglaze with white wine if using, then stir in heavy cream and Parmesan cheese.
Simmer for 2-3 minutes, then whisk in egg yolks slowly to thicken the sauce. Reduce heat.
Return chicken, shrimp, and pasta to the skillet. Toss to coat evenly.
Garnish with parsley and serve warm.