Directions. Remove and discard any coarse outer cabbage leaves. Peel off large leaves just until they are difficult to remove. Transfer cabbage to a large bowl with red onion, carrot, pepper, green onions, and parsley. Sprinkle with salt and toss. Whisk together vinegar, oil, soy sauce, and honey in a small bowl..Get Asian Style Slaw Recipe from Food Network. Cole slaw is one of the classics, and I love it, but I More. Save Recipe. Level Easy Total min. Prep .Add red cabbage, green cabbage, carrots, and onion to a large bowl. Pour olive oil, ginger, garlic, brown sugar, soy sauce, sesame oil, rice wine vinegar, and sesame seeds into a Mason jar with a tight fitting lid. Shake until well combined. Pour over vegetables and toss until well coated..