Put the broth, ginger, soy, wine, vinegar, sesame oil, sugar and salt in a soup pot and bring to a boil over high heat. Adjust the heat so the broth simmers and cooks to lightly flavor with ginger, about 10-15-minutes.
Add the carrots, and simmer until tender and cooked through, about 5 minutes. Just before serving, add the dumplings, cook for 3 minutes, stir in the scallions and spinach and cook until the greens wilt, about 1 minute. Divide among warm bowls and serve. Serve with chili sauce on the side if desired.
Optional- Cook the dumplings according to package directions for potstickers- Serve dumplings on the side of soup.