This is a new version of script LiveSync that supports movement in any direction and rotation.
frist : use The command squish to flatten the original mesh and It is preferable to increase mesh polygon For a better result .
second : this script Transfers curves-Mesh-polysurface-extrusion & surface
and you have 4 option in command bar You can choose between them
SquishBack 3d LiveSync.py (46.0 KB)
Script for flow along Mesh with LiveSync - Rhino - McNeel Forum