Unfortunately, the Vaio Recovery process formats the C:\ drive before reinstalling the original Sony OS and Applications.  This means everything on the drive will have been destroyed.

You can try talking to a data recovery company for a second opinion but, sadly, I think your data has been lost.  Try Google for some data recovery companies.

Your Vaio is quite new.  Did you generate your data on this laptop or did you transfer from another PC?  If you transferred it onto this Vaio, is the original source still available to you?