How can I recover photos deleted from my recently deleted album?

You can’t. You would like there to be a recently deleted from recently deleted album, but no such thing exists.

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 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.

You can't. They are gone unless you have some sort of backups that were done.....before.....the items were deleted from the Recently Deleted Album.