Run the program as root (i.e. use sudo). But why are you using third-party backup software rather than the excellent Time Machine?
PS I think that I may have misunderstood you; it may be that you just moved files to the disk by dragging and dropping. In either case the probem is, I think, one of permissions. Have a look at this article to see how to view and change file permissions: http://www.chriswrites.com/how-to-change-file-permissions-using-the-terminal/ . Note that you will probably need to prefix the chmod command with sudo (followed by a space).
My original advice still applises. Use Time Machine in future; it is by far the easiest way of backing up OS X files.