After your ForeFlight subscription has expired, you will not have access to your Logbook information. Your Logbook information will remain saved on the ForeFlight cloud for when you renew your subscription.
See this article for instructions on how to export a copy of your Logbook as a CSV file before your subscription expires.
See this article for instructions on how to create a PDF report of your Logbook.
If your subscription has already expired, please contact the Pilot Support Team at email@example.com to request a copy of your Logbook, which will be provided at no cost.