Heat oil to medium high in oven safe 8 quart pot with lid, add sausage, cook until browned.
Move sausage to a bowl.
Add chicken, sear on all sides, add to bowl with sausage.
Turn heat to medium, add onions, peppers, and celery.
Allow to cook for 30-45 minutes stirring regularly to brown without burning, use water a few ounces at a time as needed to prevent sticking and burning.
Then, add garlic and seasonings.
Preheat oven to 300.
Cook for an additional 10-15 minutes until all vegetables are dark brown.
Bring heat to medium high, add broth, bring to simmering boil.
Stir in rice. Layer chicken and sausage on top.
Cover and put in oven for 1 hour.
Serve hot with white beans or green beans.