How to write a script to push the server time to out?
Unfortunately, you're trying to solve a problem with an inherently broken design: relying on a user-editable client-side variable to determine object version is never going to work perfectly.

Forcing time synchronization on the domain may help, but clients can still be out-of-sync, either because of clock drift, or because the user is a local admin and therefore has permissions to change the clock manually at any time, to any time.

Normally a server-side value such as an ever-increasing integer row version number is used for concurrency control instead of a client-side-generated value.

Also, if you're recording auditing information, as much of it as possible (particularly time values) should be generated by the server for both security and synchronization reasons.