For those of you with the Steam App, this is already a feature you're familiar with.

Trying to log into a website or your account, and need that temporary Steam Guard code? The attempted login sends a ping to your app, and makes the temporary code show up as an alert without even having to unlock your phone, like a text message.

For logging into the forum, Mog Station, or FFXIV itself, (sure, it's only a few extra clicks to open up the SQEX TOKEN app, but) it would make it a breeze if the SQEX app did this too. It would become a slight battery drain, since it would need to start up as a background app for it to receive login requests.