Hello there,
Permissions will be restored if you restore the shadow copy (the whole volume). When you restore a file, the file permissions will not be changed; permissions will remain the same as they were before the restore. When you copy a previous version of a file, the permissions will be set to the default permissions for the directory where the copy of the file is placed.
You can restore with permissions using robocopy utility
The below thread discusses the same issue and you can try out some troubleshooting steps from this and see if that helps you to sort the Issue. https://social.technet.microsoft.com/Forums/en-US/7cc6d60e-7c62-49de-b374-cb64f75b5909/previous-versions-restore-not-restoring-ntfs-permissions?forum=winserverfiles
Restore a previous version of a file
https://learn.microsoft.com/en-us/previous-versions/windows/it-pro/windows-server-2003/cc778220(v=ws.10)?redirectedfrom=MSDN
Hope this resolves your Query !!
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