WPML thinks the templates are in some language other than English, which is why they are missing. I need to find the earlier ticket to remind myself of the steps to fix it, and I'll get back to you when I have those.
The default language for your site is set to English, but the Content Templates are marked as being in Russian, so when you visit the page to list Content Templates (in English, the site default), the templates are missing.
I imagine the problem has arisen because the default language when creating the templates was Russian, and it has since been changed to English.
In any case, it's not possible to change the language of the templates from the edit screens, it is necessary to edit the relevant table in the database directly.
I'm going to file a request to be able to switch the language within the UI, but for now you should find that your issue is fixed.