"Hey user, it looks like you came to us today from Google searching for [Facebook login]. Did you know that there is a better way? Type facebook.com into [blah blah blah]. Try it now and we'll give you 5 free credits for [without loss of generality: FarmVille]!"
"Great job! You should do that every time. If you do that to log into Facebook the next five days you use the service, we'll award you a Facebook Diploma and give you another 10 free credits for [without loss of generality: FarmVille]!"
On the back end, you show the above prompts to N% of your users who you detect coming to the login page from Google search results (this is trivial -- check the referer). You then compare any user metric you want for the "Was Shown Facebook Login Course" population and "Complete Facebook Login Course" population with the population at large. Kill the test if it hurts your metrics, deploy it sitewide if it helps them.