How to restore the information I had on my new iPhone after restoring backup from my old iPhone?

I accidentally restored backup from my old iPhone onto my new iPhone without making a backup of that too, and now all the photos I'd taken on my new iPhone before backing up are gone! Is there a way to restore them?

If you don't have a backup (in the cloud or on your computer) of the new iPhone, you're out of luck-the photos are gone.