If you’re running OS X Lion, you’re not on a PPC G5 Mac system.You’re on an Intel Mac
No PPC systems are supported past OS X 10.6.8.
If you’re on an Intel Mac past 10.6, there’s no support for running PPC apps.
The error you’re reporting is an attempt to run a PPC app on a 10.7 or later Intel Mac.
There are no PPC Mac systems with USB-C connections.
If you’re trying to back up a PPC Mac, then USB and FireWire drives were more commonly used, though there were a few other drives. No support for direct connecfions to USB-C exists that far back.
Your footer indicates OS X 10.6, your posting indicates PPC, you’ve posted in 10.7, and you’re referencing a USB-C device and a PPC app of some sort, so I’m not entirely sure which Mac and which OS X/macOS version is in use here, nor whether there might be a virtual machine package such as Parallels or Fusion installed. Could you post a few more details about your hardware and software configuration, and your goals? (We’re users like you, and we don’t have access fo the details of any of your discussions with Apple Support.)