FreeFileSync is a free data backup software that helps you synchronize files and synchronize folders. It is designed to save your time setting up and running data backups while having nice visual feedback along the way. FreeFileSync is Open Source software, available for Windows, Linux and macOS.
Detect Moved Files
FreeFileSync is able to detect moved files on one side and can quickly apply the same move on the target side during synchronization instead of a slow copy and delete. To make this work, FreeFileSync requires database files (sync.ffs_db) to compare the current file system state against the time of the last synchronization.
The Two way variant already creates database files, therefore, detection of moved files is always active.
The Mirror variant however, does not need the database files to find synchronization directions, so detection of moved files is not available by default. If you don't mind the creation of the database files, you can enable this feature by selecting the Detect moved files checkbox.