Yeah, moving the forum files doesn't move any data - for that you need to dump the database (backup) from the old server and import it into MySQL on the new server.
You can do this with command line access (best). Intructions here:
http://www.ubbcentral.com/support/docs/ubbthreads/UBBthreads_backup_transfer.htmlOr use something like phpMyAdmin on each server to export the database and import it on your new server.
On the new server, if you did a fresh install, that'll probably confuse things, you'll probably need to drop the tables in the database you created for the new install.... so it's an empty database ready for your old data.
