In 10-inch skillet, cook sausage over medium-high heat 4 to 6 minutes, stirring occasionally. Drain sausage on paper towels, reserving 2 tablespoons drippings in skillet. Cook onion, carrot and garlic in drippings 2 to 3 minutes, stirring constantly, until tender. Stir in sausage, beans and broth. Reduce heat; simmer 6 minutes. Stir in half of the thyme; spoon into baking dishes.