Google has always been focusing on the fact that only the User is important to them . As the users are shifting to mobile devices in large numbers Google also has started giving highlighting in the search results if a website is mobile friendly.This currently is information for the user who is searching on mobile devices. But this mention is surely effect the click thru rate of websites listed in search results on mobile devices. It is simple logic that why would a user click on a site which is not mobile friendly when he is searching using a mobile device.
This change will be rolling out globally over the next few weeks. According to Google a site is mobile friendly when it :

