Syncovery can copy NTFS security along with files.
On the tab sheet Special in the profiles, you will find a checkmark called “Process Security and Shares”. On the dialog that pops up, you need at least three checkmarks on the left-hand side (Copy Owner/Group/Permissions).
In addition, the program needs to be running “As Administrator”. To ensure it runs as admin, you need to right-click its icon and choose
“Run As Administrator”, unless you have Windows versions older than Vista, or you have disabled UAC.
If using the scheduler, it probably needs to run as a service. Please see
Installing the scheduler as a service