Heat a large pot to medium high heat. Coat the pot with sesame oil, and add ginger, mushrooms, and garlic. Cook until mushrooms are softened (about 8 minutes).
Add broth, vinegar, sriracha, and soy sauce. Bring to a boil and add carrots.
Stir in potstickers, and cook for just a few minutes until potstickers are softened.
Serve immediately and garnish with green onions.
Notes
I use vegetable potstickers for a meatless soup, but feel free to use chicken or pork!