I am not sure what you are asking.
But you can use "google.ru", if you want.
You can search for 'Debate Politics' if you wish and still find this site as #1.
If you are wishing to find something specific in Cyrillic, it doesn't matter which search engine you use. Just type in the word or phrase you are looking for and you will be given mostly sites that are in Russian.
e.g.: Search engine = Поисковая система
A regular U.S. google search of Поисковая система, returns 7 out of 10 in Russian.