Season the chicken pieces and sausage slices with Cajun seasoning. Heat 1 tbsp oil over medium-high heat in a large Dutch oven. Brown the chicken pieces and sausage slices until browned and set aside.
Add one more tbsp of oil and saute the onion, celery, bell pepper, and garlic until tender, about 3 minutes or until softened and translucent.
Return the chicken and sausage to the pot, and stir in the crushed tomatoes, red pepper flakes, parsley flakes, hot sauce, Worcestershire sauce, file powder, salt, and pepper. Simmer for 10 minutes
Mix in the rice and chicken broth. Simmer for 25 minutes, covered, and stirring occasionally.