Add the chicken broth to a large pot. Heat over high until boiling. While it comes to a boil, whisk the cornstarch and water together in a small bowl. In another small bowl, whisk the eggs. Set both aside.
Once the broth is boiling, whisk in the salt, sesame oil, white pepper, and sugar until combined.
Reduce the heat to medium-high and let the broth come to a simmer. Carefully add the wontons. Once the broth has returned to a simmer, cook the wontons for 3 minutes. If using frozen wontons, cook them for an extra 1-2 minutes or until you can easily pierce one with a fork or chopstick.
Carefully transfer the wontons to a medium bowl using a slotted spoon or spider strainer.
Increase the heat to high. Once the broth boils, give the cornstarch mixture a good whisk and whisk it into the boiling broth for 1-2 minutes or until thickened.
Reduce the heat to medium. Once the broth has returned to a simmer, slowly drizzle the whisked eggs into the soup while you whisk the broth briskly. This process forms the egg drops in the soup. If desired, whisk the turmeric into the soup to tint it yellow.
Add the cooked wontons back to the soup very carefully. Stir gently until combined, reduce the heat to low, and heat for 1-2 minutes until the wontons are hot.
Season the soup to taste with salt and garnish with green onions and cilantro. Serve hot!