This webpage seems to have a good answer to that one, taken from Easy News Information, the title is "Google gfe_rd=cr&ei= URL Mystery Revealed", here's the link:
http://ramdynamo.blogspot.com.es/2014/03/google-gferdcr-url-mystery-revealed.html
The information requested above is summarised on the page as:
"Here in ?gfe_rd=cr&ei=
gfe means Google Front-End,
rd means Redirect,
cr means Country.
(till this you can find in all websites)
And the final ei means Engine Id and also some random combination of numbers and letters is a cookie sent to our desktop.."
Hope that helps.