Please provide a URL for a category where you have set Noindex.
Indexed: http://slavblog.ru/author/admin/. Categories, for example, http://slavblog.ru/category/obo-vsjom/. Tags, for example, http://slavblog.ru/tag/opentech-ohs1740v/. But in the settings it is noted that categories, tags and authors is not an index.
Check under All in One SEO, General Settings, Noindex Settings and make sure you haven’t checked the options for Noindex categories, Noindex Author Archives and Noindex Tag Archives.
Items not to index categories, the index records the authors do not index tags marked
I am sorry, I do not understand your response.
I did as you wrote above. Links, which I wrote earlier, it is still indexed.
So you have checked those checkboxes so that categories, tags and archives will not be indexed? Have you also excluded them from your XML Sitemap?
If the answer to both these is yes, then you have done everything correctly and all you need to do is wait until Google removes that content from their index. How long that takes depends on how often they update their index for your site. It looks like it might be about 2-3 weeks. You cannot force them to remove the content, it’s up to them when and whether they remove it but Google should obey the NOINDEX tag for that content.