How to make two objects of the same shape using the shrinkwrap modifier

I would like to copy the shapekeys from an object to another one. To achieve this goal,I’m using two addons :

  1. https://blog.machinimatrix.org/sparkles/shape-key-copy

  2. https://www.blendernation.com/2018/04/12/addon-shape-key-manager-pro/

In both cases,to make work correctly the addons,the destination object should have the same shape of the source object. I tried to achieve this goal using the Proportional Editing Tool and the ShrinkWrap Modifier,but the results are not good. In particular I’m interested to the second one. As you can see below,when I have applied it,the face has been deformed badly near to the eyes sockets. Is there a way to fix it ? thanks.