Original Search Engine and Original Referrer are separate and distinct events in Marketo.
Original Search Engine is essentially SEO/organic search activity that happened the step before a conversion.
Original Referrer is obtained from a visitor's browser, essentially looking at the value of the page that was visited before visting the conversion page.
It is a bit confusing because Original Referrer can be the same value as Original Search Engine, but they don't have to match. For example, if a lead got to your site via social channel or another 3rd party site, Original Referrer would be set, but not Original Search Engine.