Are you able to run the examples from the Dopt.augment() documentation without error? That's usually a good starting place for making sure you understand how the functions in a package are meant to be used. As @raytong suggested, it looks like you first need to create a design object using Dopt.design() before you can augment it using Dopt.augment(). According to the DoE.wrapper documentation, a design object as defined by this package is:
a data frame of S3 class design with attributes attached.
This is not the same thing as a regular data frame (the attributes expected to be present are extensive), so I think you will need to rely on Dopt.design() to process your data frame into the required format. If none of that is working, then for something this specific your best bet is probably to contact the package author.