In a large pot, heat 4 tsp of oil over medium heat. Add the sliced andouille sausage and cook for 5 minutes, stirring frequently. Then add the cut chicken pieces and sprinkle with Cajun seasoning. Continue to cook for 8 more minutes or until the chicken is cooked through. Once done, remove from heat and set aside.
Using the same pot, heat the remaining 2 tsp of oil over medium heat. Add in the diced onion, celery, bell pepper and garlic. Cook for 5 minutes or until softened, stirring occasionally.
Add in the uncooked white rice and stir to combine with vegetables. Pour in the chicken broth and crushed tomatoes into the pot then season with red pepper flakes, black pepper, salt, hot pepper sauce, Worcestershire sauce, and file powder. Mix everything well then bring the mixture to a boil.
Once boiling, reduce heat to low and cover the pot. Simmer for 20 minutes or until all of the liquid has been absorbed by the rice. Remove from heat and stir in Tabasco hot sauce.
Serve the Tabasco jambalaya with your favorite vegetables or salad and enjoy!