Greens and Sausage Soup with Cornmeal Dumplings

For dumplings:

Line rimmed baking sheet with plastic wrap. Whisk flour, cornmeal, sugar, baking powder and salt in medium bowl. Stir in milk and butter, then green onions. Let stand at least 1 hour and up to 2 hours. Using wet hands, shape mixture, 1 tablespoon at a time, into 18 dumplings, arranging on sheet. DO AHEAD: Can be made 1 day ahead. Cover; chill.

For soup:

Heat oil in large pot over medium heat. Add onion, garlic, bay leaves, and thyme. Sauté until onion is tender, about 5 minutes. Add sausage; sauté until fat renders, 3 to 4 minutes. Add broth, tomatoes with juice, hot sauce, and allspice; bring to simmer, stirring occasionally. DO AHEAD: Can be made 1 day ahead. Chill uncovered until cold, then cover and keep chilled. Return to simmer before continuing.

Add greens to simmering soup. Cook greens uncovered 10 minutes, stirring occasionally. Drop in dumplings. Cover; reduce heat to low. Simmer until dumplings are tender and cooked through, 20 to 25 minutes. Season soup with salt and pepper. Ladle soup and dumplings into bowl.