Thanks for sharing illustration.
I am afraid there is no current drop shadow in the 64-bit layout. But you can kind of simulate it by creating a rectangle and coloring it and moving it to the backdrop or select Transform command under Spatial Tab and use Offset Object tool which moves/create copy of the selected object by specifying a distance and direction.
We’ll be bridging gaps on tools/functions as we release MapInfo versions.
Hope this helps!
-Thanks