Prepare the Dressing: In a separate bowl, whisk together the 3/4 cup of vegan mayonnaise, Dijon mustard, apple cider vinegar, maple syrup, celery seed, salt, and black pepper until the mixture is smooth and creamy.
Prepare the Vegetables: Finely shred the green and purple cabbage and place them in a large mixing bowl. Peel the carrots, and you can either grate them or julienne them (cut into thin matchstick-like strips). Add the place the carrots to the bowl with the cabbage.
Combine and Toss: Pour the creamy dressing in the large mixing bowl over the shredded vegetables. Toss everything together until the vegetables are evenly coated with the dressing.
Optional Add-Ins: If you'd like a sweeter coleslaw, add raisins or dried cranberries to the salad. Toss to combine. For added freshness and color, mix in chopped fresh parsley. Or, for a nutty crunch, add pumpkin seeds (pepitas) to the coleslaw.
Chill and Serve: Cover the bowl and refrigerate the coleslaw for at least 30 minutes before serving. This step will allow the flavors to meld together and the coleslaw to become even creamier.
Serve: Serve your creamy vegan coleslaw as a side dish at your next meal or as a topping for sandwiches and wraps. Enjoy!