Personally, I don't. I'm pretty sure it's not taught in any university. I'd say the popular Sri Lankan business portal LBO has Austrian leanings, especially the fussbudget column focusing on monetary policy.
About an year ago, I helped arrange a couple lectures by Cris Lingle, an economist of the austrian tradition also a fellow at CCS. He spoke about Globalization for a Youth group I'm involved with and also about imbalances at global markets at the Chamber of Commerce. That pretty much sums up what I know about Austrian economics in Sri Lanka.
Personally, I'm a student of the austrian tradition as much as I am a student of the neoclassical tradition and not really prepared (or know enough) to pass judgements on either.
Austrians are also committed classical liberals or Libertarians. Sadly, I don't know many Sri Lankan libertarians either. If you have any info about Austrian economics in Sri Lanka or Sri Lankan libertarians, leave a comment or better yet, drop me an email. I'd be interested in knowing.