OK so you weren't suppose to uninstall the software before you transfer the licence. You need to use the Licence transfer utility to retrieve the licence and then it would work on the new install.
Because you have already uninstalled the software you would have to contact Autodesk to help you retrieve the licence. You can follow this link to Chat to Autodesk online: www.autodesk.com/licensesupport
Or you can contact Autodesk help line through this link: http://knowledge.autodesk.com/contactus