Add the vegetable oil into a large saucepan, then turn the heat to medium.
Once the oil is nice & hot add in the onions, and cook for 3 minutes.
Next, toss in the celery, and cook for about 3 minutes.
Now add in the sliced tomatoes, and stir.
Let cook until the tomatoes start to cook down, then add in the minced garlic.
Pour in the tomato sauce, and the chicken broth. Stir.
Sprinkle in the salt, pepper, thyme, and red pepper flakes.
Next add in the dashes of hot sauce, and worcestershire sauce.
Stir until everything is combined, then add in the bay leaves.
Turn the heat down to low medium, and let the sauce simmer for about 20-25 minutes.
Add in the andouille sausage, and stir. Let cook for about 10 minutes.
Last but not least toss in the shrimp, stir, and turn the heat off completely.
Let stand for about 10 minutes.
Serve with hot steamed rice, and enjoy!