Current, practising academic here, so hopefully I can shed some light on your query!
I believe what they're after with "referiert" in this context is funding applications that are subject to some kind of review process - i.e. where the funding isn't just automatically given out (as it is in some cases), but rather the application for the funding is reviewed against a broader field so the funding is given to the projects with the most merit etc.
It looks a bit bizarre to the rest of the world but a core part of academic job applications lies in demonstrating previous success in attaining funding (which could presumably be carried forward in the future, too), and that's how I read this here.
If it's helpful, there's a brief explanation in this link [
https://wbw.unileoben.ac.at/fileadmin/user_upload/shares/wbw...] - "die Einnahmen aus Projekten der Forschung im Sinne von Antragsmittel (referierte Drittmittel)", i.e. funding that you have to submit an actual "Antrag" for.
It's really nothing to do with it being reported or referred, I'm afraid, but the term we'd use escapes me at present! I'll pop back when it comes back to me! :)