Earlier quoted context omitted.
Google apps lets you generate a series of one-time use codes, which you can print out and keep in a safe/folder/notebook, so that if your 2-factor-auth device (phone, fob, etc) gets nuked, you can still log in. I find it interesting that he could log in without 2-factor auth. Those things I thought were keyed to phone hardware.
Many 2fa implementations offer SMS (which would be compromised given a social engineering cell redirect) as an alternative to TOTP. (What's commonly referred to as "Google Authenticator" - it's time-based, so if you capture the initial image or code, you can actually set it up on multiple devices, so it's not exactly device-based)
If you are going to verify over SMS, don't have your SMS messages forwarded to email as that would render your 2fa pointless.