backups are deleted

Are you sure you didn’t do ANY of these ways of preserving photos and videos?

• emailed, texted or messaged the photos to friends or family
• iCloud photo sync
• iCloud backup
• iTunes backup
• Transfer your photos to your computer via USB cable
• Apple Photo Stream
• Sync to Google Photos
• Sync to some other photo archiving service such as Shutterfly
• Sync to Dropbox
• Sync to box.com
• Sync to Microsoft OneDrive
• Sync to Amazon Photos
• back up to Livedrive
• Backup to any other backup or archiving service

A final option is if you synced your photos to iCloud, you have a Mac, and you use Time Machine to back up your Mac automatically, you can open Time Machine and restore the photo library to an earlier date. To do this on your Mac open Finder, then click on Pictures in the sidebar and launch Time Machine. Go to a time before the photos were deleted and restore

Photos Library.photoslibrary. (If you had ever changed the name of the photo library restore that file instead).

If the answer is no to all of the above your photos are gone forever.

If you have no backup and you were not storing your photos in iCloud (or some other cloud based service), then they are gone.

If you were using iCloud photos, you could sign into iCloud.com and see if your photos are there...