Cut up the sausage into small pieces and place it in a large skillet with one tablespoon of oil over medium heat. Stir occasionally and cook for about 8 minutes until it starts to brown.
Cut the chicken thighs into small cubes. Add them to the skillet with the sausage and season with the Cajun seasoning. Stir everything together and continue cooking for another 5 minutes until the chicken is cooked through.
Dice the onion, bell pepper, celery, and garlic. Add them to the skillet with the chicken and sausage. Stir everything together and cook for another 5 minutes until the vegetables are softened.
Pour in the diced tomatoes, chicken broth, thyme, oregano, salt, paprika, pasta, and cayenne pepper. Bring everything to a simmer and let it cook until everything is heated through and the sauce has thickened up a bit.