Q: my phone was backed up under different name. how can i get my content on my new phone

Hi there jurgen,

Welcome to Apple Support Communities.

If I understand correctly, there is an issue restoring your new iPhone from a backup. If you haven't already, take a look at the article linked which will walk you through the process of restoring your new device with a backup of another device.

Transfer content from an iPhone, iPad, or iPod touch to a new device - Apple Support

If you see an alert message when attempting to restore the device from a previous backup, try running through the troubleshooting suggestions in this article:

Resolve iOS update and restore errors in iTunes - Apple Support

Ciao.