Combine mayonnaise, vinegar, sugar, salt and pepper in a large bowl.
Using slicing blade, with food processor running, add green cabbage to food chute. Process until sliced. Add green cabbage to mayonnaise mixture. Repeat with red cabbage.
Using shredding blade, with food processor running, add green onion and carrots to food chute. Process until shredded. Stir into cabbage mixture.
Cover and refrigerate for several hours to blend flavors.
Combine mayonnaise, vinegar, sugar, salt and pepper in a large bowl.
Using slicing blade, with food processor running, add green cabbage to food chute. Process until sliced. Add green cabbage to mayonnaise mixture. Repeat with red cabbage.
Using shredding blade, with food processor running, add green onion and carrots to food chute. Process until shredded. Stir into cabbage mixture.
Cover and refrigerate for several hours to blend flavors.