Whisk buttermilk, mayonnaise, sugar, lemon juice, vinegar, salt, and pepper together in a bowl.
Toss cabbage and carrot together in a large bowl. Drizzle dressing over the cabbage mixture; toss to coat.
Cover bowl with plastic wrap and refrigerate until chilled, at least 30 minutes.
Serving Size 8
Servings 0
* Percent Daily Values are based on a 2,000 calorie diet. Your daily value may be higher or lower depending on your calorie needs.