Is there a way to recover my lost contacts on my iPhone?

Today I moved my phone over from one iPhone 5 to another iPhone 5. The rep at the Apple Store said I should be fine leaving and that all of my remaining info that hadn't downloaded would eventually update. However, most of my contacts never downloaded. I wanted to reset my phone, but when I logged into iCloud it now says I have never backed my phone up. I know I backed my old phone up multiple times. Why is my previous backup not showing up anymore?