Whisk together vinegar, olive oil, sugar, lime juice, kosher salt, ground coriander, ground cumin, ground red pepper, and freshly ground black pepper in a large bowl.
Add red cabbage, white cabbage, carrot, jalapeo pepper, red bell pepper, and yellow bell pepper. Toss to coat. Chill 1 hour before serving, tossing occasionally. Stir in cilantro just before serving.