Brown the Meat – Heat oil in a Dutch oven over medium-high heat. Brown sausage slices, then remove. Brown chicken chunks, then remove and set aside.
Sauté the Trinity – In the same pot, cook onion, bell pepper, and celery for 5 minutes until softened. Add garlic and cook 1 more minute.
Add Rice and Seasonings – Stir in rice, Cajun seasoning, paprika, cayenne, salt, and pepper. Toast for 2–3 minutes.
Add Liquids and Simmer – Pour in chicken stock and tomatoes. Stir well. Add bay leaves, chicken, and sausage. Bring to a boil, then reduce heat to low. Cover and simmer 25–30 minutes until rice is tender and liquid absorbed.
Add Shrimp (Optional) – Stir in shrimp during the last 5 minutes, just until pink and cooked.
Finish and Serve – Remove bay leaves, fluff rice with a fork, and garnish with parsley and green onions.