Cook the ramen noodles according to package instructions (do not add seasoning packets). Drain and rinse under cool water to cool the noodles. Toss with 1/2 tablespoon toasted sesame oil and transfer to a large serving bowl.
Season the cabbage separately with salt, pepper, and 2 tablespoons of rice vinegar. This step isn’t required, but it will add a lot of flavor to the salad. Let the cabbage marinate while you mix the dressing.
In a small bowl, whisk together the rice vinegar, soy sauce, black vinegar, remaining 1 tablespoon sesame oil, Sriracha, and brown sugar.
Now add the cabbage, carrots, edamame, and green onion to the bowl with the ramen. Pour on the dressing. Toss everything with the dressing to coat. Cover and chill for an hour before serving, for more integrated flavor.