If you've never see it in the grocery, broccoli slaw is just broccoli shredded to resemble slaw sticks with a few carrot shreds thrown in for color. I find it with the pre-packaged salad greens.
Layer the slaw, carrots, apple and raisins in a large mixing bowl. Mix the mayo, juice and vegan sugar until the vegan sugar crystals dissolve and pour over the slaw layers. Toss together and serve. My children, ages 8, 6 and 4 love this.