As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
FLIGHT 6336 - SDF-CVG - DURING TAKEOFF IN SDF AT APPROXIMATELY 500 FEET AGL, CAPTAIN AND FIRST OFFICER NOTICED SMOKE AND THE ODOR OF SOMETHING BURNING, 30 SECONDS AFTER THAT, RECEIVED LAV SMOKE WARNING ON EICAS AND FLIGHT ATTENDANT REPORTED THE LAV SMOKE DETECTOR WAS GOING OFF AND THERE WAS SMOKE IN THE CABIN. DECLARED EMERGENCY AND RETURNED TO THE FIELD. MAINTENANCE REMOVED AND REPLACED NR 2 ENGINE.