In the United States a USCG 2692 must be filed with the USCG.
The deficiency should be reported to the Captain who should report it to the company. A proactive company would report the 2692 to the USCG. The USCG specifically put the resposability on the Captain and the Chief Engineer as companies could not be trusted to file a 2692. If the Chief Engineer reports it to the Captain and the company and they do not file a 2692 it is the Chief Engineer’s responsibility to file it. It was the Chief Engineer’s lack of insuring the 2692 was filed. It is better to error on the side of caution. File a 2692 or suffer the consequences!
Chief Engineer’s can’t trust the Captain or company to file a 2692. Always demand a copy for your records.