Season chicken pieces with 1 tbsp Cajun seasoning.
Heat 2 tbsp oil in a pot and brown the chicken. Remove and set aside.
In the same pot, cook sausage slices until lightly crisped.
Add remaining oil, then sauté onion, celery, and bell peppers until soft.
Stir in garlic, remaining Cajun seasoning, and oregano. Cook for 1 minute.
Pour in crushed tomatoes, chicken broth, and rice. Stir well.
Return chicken and sausage to the pot, bring to a boil.
Cover and simmer on low for 25 minutes, or until rice is tender.