Add the sliced andouille sausage and cook until nicely browned.
Remove the sausage with a slotted spoon and set aside.
In the same pot, add chicken pieces and cook until browned on all sides.
Remove the chicken and keep it with the sausage.
Add onions, celery, bell peppers, and garlic to the pot.
Cook until the vegetables soften.
This should take about 5 minutes.
Stir in the tomatoes, chicken broth, rice, salt, cayenne pepper, and creole seasoning.
Bring to a boil, then lower the heat.
Return the sausage and chicken to the pot.
Cover and simmer for about 30 minutes or until the rice is tender.
Serve immediately and enjoy!