Combine yogurt, sugar, lemon juice, vinegar, salt, pepper and hot sauce in a large bowl. Add cabbage and toss until fully coated.
Combine chicken and barbecue sauce in a medium microwaveable bowl; toss until the chicken is coated. Microwave on High until heated through, about 1 minute.
Heat tortillas according to package directions. Fill each tortilla with ¼ cup of the chicken and top with 3 tablespoons of the slaw. Garnish with cilantro and serve.
