Just create a batch file with the following command:
robocopy source destination /xo /purge /e
Example for source would be: C:\desktop\myfolderrobocopy source destination /xo /purge /e
Example for destination would be: T:\backup\myfolder
/E : Copy Subfolders, including Empty Subfolders.
/XO : eXclude Older - if destination file exists and is the same date or newer than the source - don't bother to overwrite it.
/PURGE :: delete dest files/dirs that no longer exist in source.