I did a search on your error message and like you, didn't come up with much. The Disk Utility restore that I think you're using (not the image restore) isn't used much and actually, you're the first instance I can recall of anybody using it here. It may have been used in posts I've read previously but I may have just assumed it was an image restore.
What OS do you want to use? If it's Mojave, you can use the Internet Recovery to re-install the OS. If there is a problem with the SSD or something related to the SSD, chances are that you won't be able to install the OS. If you can install the OS, then you can use the Migration Assistant (will come up as a part of the installation process) to migrate the data from your bootable backup to the new SSD.
https://support.apple.com/en-us/HT204904
If you want to use an OS other than Mojave, you would either need to try to get the Disk Utility restore working or get a USB OS Installer. I'm guessing that you either want to use Mojave or High Sierra because the "inversion" term seems to be related to APFS, which is only used in High Sierra or Mojave. If you were trying to use a different OS, then perhaps you were trying to restore to an APFS OS from a non-APFS OS or an APFS disk from a non-APFS disk - as I mentioned the Disk Utility restore you tried doesn't seem to be much used so I'm not sure what restrictions there are on it's use.
If you want to continue to try the Disk Utility restore, it would be helpful to know what OS you had originally on your failed drive (and now bootable backup), where are you starting the Disk Utility from (Internet Recovery, your bootable backup disk, etc.), and what type of disk (HDD or SSD) you have as your bootable backup and what file system it uses (HFS+ or APFS).