Please remember that Manage Backups displays the backup records in your database, not the contents of your backup output directory or your remotely stored backups.
When you click Delete you are deleting the backup record in the database, any locally stored backup archive files for this backup record and the log file for that backup record.
You can of course use Import to import any archives you have somewhere on your site (the default location being listed is the backup output directory) but if you used Delete on all records then all of the locally stored files are gone.
The other thing that plays a role into what is being listed is pagination. There is this problem with Joomla regarding pagination, affecting all components (not just Akeeba Backup). Let's say there are 3 pages of 20 records each and you are viewing page 3. If you delete all of the records on page 3 what do you think happens? Yeah, you get the no records message because Joomla knows it needs to start at page 3 (record 41) but there are only 40 records listed. Unfortunately, in this case, Joomla doesn't show the pagination interface. This seems to have been addressed in Joomla 4 where the pagination display is controlled by the total number of records, not the number records displayed in the current page.
One way to address this is to select 5 items per page, go to page 1 and then switch back to 20 items per page. This will only work if there are at least as many records left as what Joomla knows it should start listing from. Another way to address this is to log out of your site and log back in. This resets the pagination information in your user session and you start seeing everything from page 1 again.
Nicholas K. Dionysopoulos
Lead Developer and Director
🇬🇷Greek: native 🇬🇧English: excellent 🇫🇷French: basic • 🕐 My time zone is Europe / Athens
Please keep in mind my timezone and cultural differences when reading my replies. Thank you!