Funilly enough Fosters is japanese now, and hasn't been Australian for decades.
Asahi have been buying up all of Australia's breweries, even a bunch of popular micros are owned by them now.
Before asahi, they were owned by ABINBEV and SABMiller.
It was actually made in many countries by the likes of Heineken, Coors, Molson, and others. I don't think any true fosters has been made in Australia and exported for a very long time.
Didn't Asahi acquire all of lion Nathan breweries over a decade ago?
Edit, actually kirin owns lion Nathan, but asahi definitely aquaired some of their brands a while ago.