Earlier quoted context omitted.
If you program your own keys into the Yubi, then you know them and can archive them for reprogramming on another device. You can do this with the Yubi Personalisation tool [1] for a few modes the device supports. [1] https://www.yubico.com/products/services-software/personaliz...
Eh. Hence why I said it like I did. In most cases, the device generates the secrets. And that's how it should be done, it guarantees that they can't be compromised easily (vs if someone compromised wherever you backed up those keys to).
[1] https://www.yubico.com/products/services-software/open-sourc...