About a month a go we started implementing AMP pages for our website. We follow the official AMP documentation and implemented the pages but missed out the structured data. After that google webmaster showed errors in AMP pages. We fixed that and now the errors are reducing and pages are being indexed. Our AMP pages are showing on google in some search terms. However if we search for the domain name in google we don't get the AMP pages. For example, if we search for "example post" or any other website domain that has AMP implemented then AMP pages for that website are being shown. But we cannot see AMP pages when searching for [our site].

Is there anything else we should do to display AMPs upon searching for [our site name]?

[edited by: martinibuster at 4:20 pm (utc) on Apr 12, 2016]
[edit reason] Removed specifics. See? It still makes sense. ;) [/edit]