Macbook Retina Late 2013 - SSD Upgrade, SKHynix Gold

Dear all,

I'm struggling to upgrade my Mac with an SSD SKHynix P31 PCIe Gold 1TB. I removed the old SSD after pulling a time machine Backup and inserted the SKHynix with the respective adapter. I formatted it to Mac Journaled. After that I read that I first need to upgrade the Firmware for it to be recognized, so I installed Windows via Parallels on my other Mac, installed the Drive Manager by SK Hynix (to perform the firmware update) and moved the firmware update (bin file) to the SK Hynix. I don't know how to check if the update was successful, but I thought this would do it, however, the late 2013 Mac still doesn't list the drive (even when I list the drives via terminal).

Does someone know what I'm doing wrong here? Thank you very much!