Edit: Previously, the political center of Austria was slightly to the left, like in most European countries. Bored with the great center coalition, the conservative party (ÖVP) has burned all bridges to the center-left social democrats (SPÖ) and is now considering the center rather more near its own right wing. Refugees and immigrants and "punishing" those are now the go-to argument for every legislative initiative. Also, governmental "message control", i.e., controlling what may be leaking of internal political communication or what may be setting an agenda, is deemed of high strategical importance by the ruling parties.
Please don't attempt to change the meaning of my post with your own interpretation. When I write "left-leaning", I mean exactly that.
Yet another historical marker, at the end of WW1 about 15% of the Viennese population was anarchists, some of them living in illegal settlements. (These anarchist settlements were mostly converted to allotment associations, some of them still carrying auspicious names like "Future". The reintegration of those who had already left the common political ground into a more traditional spectrum is a special and generally overlooked treat of the political history of Austria and probably the cause, why communists were rather rare in Austria as compared to the neighboring countries.)
Notably, this was about "left-leaning" as a qualifier for hate speech, which may be subject to prosecution (compare the original comment).
Existing hate-speech legislation allows persecution of users already, but in some cases the offenders hide too well or Facebook does not cooperate with authorities. Online newspaper forums are also now full of professionally organized dirt campaigns, sometimes tolerated by left-leaning media. The government wants to be able to persecute those who break the law and thinks it's the responsibility of media to at least make their users identifiable for authorities.