In a large bowl, toss together the green cabbage, purple cabbage, carrots, bell peppers, cilantro, green onion, and edamame.
In a small bowl, whisk together the olive oil, sesame oil, white vinegar, soy sauce, sugar, salt, garlic powder, black pepper, and toasted sesame seeds until the sugar and salt are fully dissolved.
Right before serving, add the roasted cashews and crunchy chow mein noodles to the salad. Pour the dressing over the top and toss everything together until well coated.
Serve immediately while the noodles are still crispy.