In a bowl combine shrimp, chicken and Creole seasoning, and work in seasoning well. Set aside.
In a large pot heat oil over medium-high heat. Add the onion, pepper and celery. Cook for about 3 minutes.
Add garlic, tomatoes, bay leaves, Worcestershire and hot sauces. Stir in rice and slowly add broth. Reduce heat to medium and cook until rice absorbs liquid and becomes tender, stirring occasionally, about 15 minutes.
When rice is just tender add shrimp and chicken mixture and sausage. Cook until meat is done, about 10 minutes more. Season to taste with salt, pepper and Creole seasoning.