The ShareGate migration tool allows you to schedule your migrations so that you can run migrations in intervals or at off-hours.
When scheduling a migration using Copy content only, the app will only migrate the files and folders that you originally select. Files or folders that are added to the list or library after the migration has been scheduled will not migrate.
There are two possible solutions you can try to make a scheduled migration suit your needs.
In the ShareGate migration tool
Use Copy structure and content to select the list or library itself rather than selecting the files or folders individually.
Note: Changes you have made to the structure of your destination list or library may be overwritten by this migration. To avoid this, use the PowerShell and Windows Task Scheduler solution.
PowerShell and Windows Task Scheduler
PowerShell allows you to use Copy content to copy all items in a list or library without losing the structure at the destination.
For more information on building the script, including syntax and examples, see Copy content.
You can combine PowerShell with Windows Task Schedule to create a schedule for your migrations.
For more information on scheduling with Windows, see Schedule your PowerShell migration.