For what it's worth, to me, (who spent a lot of time behind the Iron Curtain), the badge has something of a 'Soviet' look to it, which could explain why it's difficult to trace. .There are lots of 'Ks' and 'As' in Russian - авиация for aviation for example and авторитет for authority.
I did have a look on a couple of Russian websites, but things being what they are at the moment, it's difficult to explore too deeply. Good luck!