Soak dried baby lima beans overnight. The next day, drain and rinse beans and set aside.
In a large stock pot or Dutch oven, heat up 1 tablespoon of olive oil. Add the chopped onion, celery and bell pepper to the pot and stir.
Next, add the chopped andouille sausage and tasso ham. If you do not have tasso, use bacon or ham hock as a substitute along with ½ teaspoon each of cayenne, cumin, smoked paprika and brown sugar. (Tasso comes well seasoned, so you do not need these spices unless using a meat substitute.)
Cook the vegetables and meats until browned and fragrant.
Next, add 32 ounces of chicken broth, one bay leaf, 4 cloves of minced garlic, 2 teaspoons of salt, ½ teaspoon of pepper and 1 tablespoon of white vinegar. Bring contents to a boil, then reduce heat, cover and simmer for 1 ½ hours. Stir beans occasionally.
After 90 minutes, uncover the pot and continue to cook the beans for an additional 30 minutes. White the beans cooked, uncovered, make the rice.
When the rice is done, it's time to eat! Remove bay leaf from beans, and serve by scooping about ½ cup of rice onto each plate, topped with a healthy serving of beans. Serve with a good hot sauce and enjoy. Happy Mardi Gras!