Padre does not have this feature but you can plan one...
Auto-save files (Planned)
Every N seconds all the files changed since the last auto-save are saved to a temporary place maybe in ~/.padre/save.
When the user closes the file, the auto-saved file is removed.
Configurable options: on/off, frequency in seconds
Auto-backup
See Padre::Autosave
When Padre opens a file it automatically creates a copy of the original in ~/.padre/backup/PATH where PATH is the same PATH as the full PATH of the file. On Windows the initial drive letter is converted to another subdirectory so c:\dir\file.txt will be saved as ~/padre/backup/c/dir/file.txt.
When a new file is created no need for auto-backup.
When a remote file is opened the backup will probably go to ~/padre/backup_remote/
Configurable options: on/off