Google Docs which has been renamed to Google Drive now allows users to store their files, folder and documents to let them access from any device, at present Chrome’s Omnibox doesn’t allows to search Google Drive from it, if you want this feature to be built-in Chrome go ahead and star this bug, meanwhile if you want Omnibox to find Google drive files/contents when you type a file name install OmniDrive extension from Chrome.

OmniDrive adds Google Drive search support to Omnibox

Download and install the extension from here, remember you need to sign into your Google Drive account and give permission to this extension to access to view files and documents in your Google drive.

OmniDrive

Using OmniDrive: Now  type ‘drive’ in address bar and press tab, now start searching in Google drive by typing something you want to locate.