A recipe that will copy any image to flickr, including photos edited or created in other apps on your iPhone. As long as it's in your camera roll, it's backed up.
If
New photo added to album
This Trigger fires every time a new photo is added to the album you specify.
Then
Upload public photo from URL
This Action will upload a new public photo, from a given URL to an image, to your Flickr photostream.
Explore more great ways to automate Flickr and iOS Photos