What happened
The FAA’s narrative, in sentence case. The FAA writes it in capitals and removes private details.
After takeoff (during climb out) the number 2 (right) engine experienced an uncommanded acceleration to 109 % N1. The flight crew disengaged the auto throttle system and reduced power on the number 2 engine. The number 2 engine power began to stabilize after the power was reduced. The aircrew elected to return to Denver International. As they initiated a turn to Denver, the number 2 engine rolled back to a sub-idle condition and experienced an over temperature condition and the aircrew shut it down. Near simultaneously, the number 1 engine recovered accelerated uncommanded to approximately 113 % N1. The number 1 engine recovered from the overspeed and the aircraft recovered safely on one engine at Denver International. The event can be classified as a dual overspeed due to the circumstances involved. Maintenance personnel inspected both engines for damage but could not identify any. FDR data indicates that the engines may have experienced several compressor stalls during the incident sequence however the aircrew did not note any compressor stalls. Both engines were replaced by the operator.
As the FAA filed it
AFTER TAKEOFF (DURING CLIMB OUT) THE NUMBER 2 (RIGHT) ENGINE EXPERIENCED AN UNCOMMANDED ACCELERATION TO 109 % N1. THE FLIGHT CREW DISENGAGED THE AUTO THROTTLE SYSTEM AND REDUCED POWER ON THE NUMBER 2 ENGINE. THE NUMBER 2 ENGINE POWER BEGAN TO STABILIZE AFTER THE POWER WAS REDUCED. THE AIRCREW ELECTED TO RETURN TO DENVER INTERNATIONAL. AS THEY INITIATED A TURN TO DENVER, THE NUMBER 2 ENGINE ROLLED BACK TO A SUB-IDLE CONDITION AND EXPERIENCED AN OVER TEMPERATURE CONDITION AND THE AIRCREW SHUT IT DOWN. NEAR SIMULTANEOUSLY, THE NUMBER 1 ENGINE RECOVERED ACCELERATED UNCOMMANDED TO APPROXIMATELY 113 % N1. THE NUMBER 1 ENGINE RECOVERED FROM THE OVERSPEED AND THE AIRCRAFT RECOVERED SAFELY ON ONE ENGINE AT DENVER INTERNATIONAL. THE EVENT CAN BE CLASSIFIED AS A DUAL OVERSPEED DUE TO THE CIRCUMSTANCES INVOLVED. MAINTENANCE PERSONNEL INSPECTED BOTH ENGINES FOR DAMAGE BUT COULD NOT IDENTIFY ANY. FDR DATA INDICATES THAT THE ENGINES MAY HAVE EXPERIENCED SEVERAL COMPRESSOR STALLS DURING THE INCIDENT SEQUENCE HOWEVER THE AIRCREW DID NOT NOTE ANY COMPRESSOR STALLS. BOTH ENGINES WERE REPLACED BY THE OPERATOR.