In a mixing bowl, combine the ground pork, minced shrimp, green onions, ginger, garlic, soy sauce, and sesame oil. Mix well until the ingredients are fully incorporated.
Take a wonton wrapper and place 1 teaspoon of the filling in the center. Moisten the edges with a little water, then fold the wrapper in half to create a triangle, pressing to seal. Fold the two top corners over the center to create a shape resembling a flower. Repeat until all filling is used.
In a large pot, combine the chicken broth and water. Bring to a boil, then reduce heat to a simmer.
Add the soy sauce, sesame oil, rice wine, salt, and pepper to the pot, stirring to combine.
Carefully drop the wontons into the simmering broth. Cook for about 6-8 minutes or until wontons float to the surface and are cooked through.
Ladle the soup into bowls, ensuring each serving has wontons and broth.
Garnish with sliced green onions and cilantro if desired. Drizzle with chili oil for extra heat, if preferred.