Prepare the Carrots:
Grate the carrots using a hand grater or a food processor with a shredding blade. Place them in a large mixing bowl.
Add Raisins:
Add the raisins to the bowl with the shredded carrots.
Make the Dressing:
In a small bowl, whisk together the mayonnaise, Greek yogurt (if using), honey or sugar, and apple cider vinegar or lemon juice. Season with salt and pepper to taste.
Combine Salad and Dressing:
Pour the dressing over the carrot and raisin mixture. Toss well until everything is evenly coated.