How to use dietpi-drive_manager to mount with current user permissions

What filesystem does the external drive have?

For the USB drive, I have vfat, and for Hard drive I have ext4.

You can just change the file permissions or the ownership of the drive like you need them (with chown or chmod), independent from the mount process. But this will only work for linux filesystems like ext4.

Is the above true for all Linux OSes ? Because, in a regular Ubuntu system, when I plug a usb drive, the drive is readily usable by the user that mounted. There is no necessity for the root to mount it and change the permissions. How is this achieved ?