Stir together yogurt and wasabi; cover and chill. Grill flour tortillas. Spread cheese evenly over tortillas; top with chicken, avocado, and sprouts. Roll up and cut into slices. Top with shredded carrots. Serve with wasabi sauce.

Process first seven ingredients in a blender until smooth, stopping to scrape down sides. Place chicken in a shallow dish or heavy-duty zip-top plastic bag. Pour marinade over chicken. Cover or seal; chill 1 hour, turning occasionally. Remove chicken from marinade; discard marinade. Grill chicken, covered with grill lid, over medium-high heat (350 degrees F to 400 degrees F) about 10 minutes on each side or until done. Cool slightly and cut into thin strips.