The Geneious database is stored separately from the Geneious application so simply migrating the application itself across to a new machine will not move the database. The database is typically found in the User’s home directory in a folder called Geneious X.Y Data (where X.Y denotes the Geneious version). The safest way to transfer your Geneious database to another computer is to make a backup of your database using the Backup function in Geneious, then restore the database from the backup on the new machine. Do not use Windows Explorer to migrate the database folder, as Explorer cannot handle files and paths longer than 256 bytes and you are likely to lose files.
If you are no longer going to use Geneious on your old machine you should also release the license from this machine. This can be done from the ‘Help' menu ('Pro' menu in Geneious 5.6 and earlier). Note that there are a limited number of releases available within a given period of time and trying to release too often may be misconstrued as a user trying to share a personal license with others. Only release a license when absolutely necessary.
Note that if you are using Migration Assist on a Mac to move your files and applications you must release your license from the old machine first, otherwise you will get a “Failed to launch FLEXnet” error when you try to run Geneious on the new machine.