In a medium saucepan, bring limas, peas, and water to cover to a boil over medium-high heat. Reduce heat, and simmer until tender, 10 to 15 minutes. Drain well.
In a large skillet, melt butter with olive oil over medium heat. Add green onion and garlic; cook, stirring frequently, for 3 minutes. Stir in limas, peas, corn, cream, thyme, salt, sugar, garlic powder, and pepper; cook, stirring occasionally, for 20 minutes. Stir in tomatoes, and cook just until heated through, about 2 minutes. Serve immediately.
Recipe by Paula Deen Magazine at https://pauladeenmagazine.com/summer-succotash-recipe/