Hi there,
The error code 80072EFE indicates that the connection with the server was terminated abnormally. Make sure there are no firewall rules or proxies to block Microsoft download URLs.
You could also try the following:
Click on Start, and then click Run.
Type cmd in the Open box
Type "net stop wuauserv" without the quotes at the command prompt, and press Enter.
Delete (or put in recycle bin) the contents of C:\WINDOWS\SoftwareDistribution (but not the SoftwareDistribution folder)
Type net start wuauserv at the command prompt, and press Enter.
Now try Windows Update again.
You can also refer to these forums which discuss the same issue with the windows update
https://learn.microsoft.com/en-us/answers/questions/121519/windows-update-error-80072efe.html
https://learn.microsoft.com/en-us/answers/questions/277976/server-2012-error-80072efe.html
-------------------------------------------------------------------------------------------------------------------------------------------------------------
--If the reply is helpful, please Upvote and Accept it as an answer--