Another error message from the attempt to move an existing MySQL installation to a new server, this time caused by the import of all the old users from the old server. debian (and Ubuntu) adds their own user to the server to be able to perform upgrades and other maintenance through automagical scripts. The password that debian (or Ubuntu) uses to connect to this user is stored in a file on the local file system: /etc/mysql/debian.cnf.
This file contains the current password for the debian-sys-maint user, and if you’re moving all your users to a new server, be sure to also get this password from the file on the old server and copy it into the file on the new server. I strongly suggest copying just the password and not the whole file, as there may be new settings added to the file since you last upgraded the old server.