In a large pot, heat the oil over medium heat. Add the onion and celery. Cover the cook until softened, about 10 minutes. Add the sweet potatoes and garlic, Cover and cook, stirring occasionally, until softened, about 5 minutes.
Remove the lid and stir in the tomatoes, lima beans, soy sauce, mustard, sugar, cumin, allspice, and Tabasco. Add the broth, pepper and salt to taste. Bring to a boil, then reduce the heat to low and simmer, uncovered, until the vegetables are tender, stirring occasionally, about 30 minutes.
Stir in the corn and simmer for 15 minutes longer. Add the liquid smoke, is using. Taste and adjust the seasonings, if necessary. Serve hot.
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