Get Asian Chicken Noodle Soup Recipe from Food Network..Directions. Mix soy sauce, mirin, teaspoon of the sesame oil, garlic, ginger, sugar, vinegar, and chile paste in a small bowl. Heat the broth in a medium saucepan. Add the soy sauce mixture, the chicken, and the vegetables and bring to a boil. Pour over prepared Chinese noodles. Garnish with cilantro and scallions..Pour in chicken broth, soy sauce, mirin, rice vinegar, Sriracha, and sesame oil, then pour carrot mixture into soup mixture. Bring to a boil then reduce heat to medium low, cover and simmer until chicken has cooked through center should register degrees on an instant read thermometer , about minutes..