Saving checklists and project data to your mobile device is automatic, which means you don't need to manually select and download these items in the Manage Sync Items screen.
Just login to FTQ360 when you have Internet or cell service, wait for the "Loading Data" bar to complete and you can go offline. That data has been shared with your device.
Existing inspection and test reports will not automatically be downloaded to your device. If you want to work on an existing inspection and test report, you must select them in the Manage Sync Items screen.
For information, checkout Sync Inspections to Your Mobile Device.