Step 1: Prepare the Vegetables : Shred green and red cabbage finely using a sharp knife, mandoline, or food processor. Julienne or grate the carrots, and slice the green onions thinly. Place all the vegetables in a large mixing bowl.
Step 2: Make the Sesame Dressing : In a small bowl, whisk together sesame oil, rice vinegar, soy sauce, honey, ginger, garlic, lime juice, salt, and pepper until fully blended. Taste and adjust — you can add more honey for sweetness or more vinegar for tang.
Step 3: Combine Everything : Pour the sesame dressing over the shredded vegetables. Toss gently but thoroughly until all the ingredients are evenly coated.
Step 4: Garnish and Serve : Sprinkle toasted sesame seeds on top. Let the slaw rest for 5–10 minutes before serving to allow flavors to meld.