Combine 6 cups shredded cabbage and next 4 ingredients in a large bowl.
Stir together sugar and next 7 ingredients in a small saucepan; bring to a boil. Boil 1 minute. Remove from heat; cool completely. Pour dressing over cabbage mixture; toss well. Cover and chill 8 hours. Toss with feta cheese just before serving.
*1 (16-ounce) package slaw mix may be substituted for shredded cabbages and carrot.