No tourists allowed to enter the country would make the flights empty.
This is BS!
Before things are getting out of hands.
If you just connecting in VIE, that should still be possible. I cannot read anything in the new lockdown rules that would prevent this.
ÖBB has stated (e.g.) that they keep running all domestic and international trains during the lockdown.
What won't be possible is to stay in Austria in a hotel for touristic purposes.
I have urgent business travel to Austria tomorrow, with airbnb instead of hotel now, but see no changes to entry requirements.
You should be prepared that your Airbnb host may cancel your reservation - that is within their discretion.
Plus you should make sure that you can prove your business reason for having to stay in Austria.