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What exactly are you trying to do? Putting a backup onto your phone is by definition restoring the phone.
 
I reset the iPhone by iTunes but not the backup I set it to factory settings now I want to add the backup see if the problems the back up
 
In order to restore your iCloud backup, you must restore the phone, either via iTunes or Settings -> General -> Reset -> Erase all settings and content. Then upon rebooting, you will have the option for iCloud backup restore.
 
I think that what you should do now is reinstall all of your apps from scratch and set up iCloud to sync your app data.
 
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