Prepare the Dressing: In a large mixing bowl, whisk together the mayonnaise, apple cider vinegar, and sugar until smooth. Season with salt and freshly ground black pepper to taste.

Combine Salad Ingredients: Add the broccoli florets, shredded sharp cheddar cheese, shredded mozzarella cheese, and bacon bits to the bowl with the dressing.

Toss the Salad: Gently stir all ingredients until the broccoli is evenly coated with the dressing and the mix-ins are well distributed.

Chill Before Serving: Cover the bowl and refrigerate the salad for at least 30 minutes to allow the flavors to meld. Serve chilled.