Searching for my website in a meta search engine, copied that url of my site from that search results, shortened it and then bookmarking it with my keywords and description.
Is this fine. I have read that it will give better results.
it is fine
better results than what?
please explain in more details what you want to achieve? 
He’s trying to build fake backlinks by creating links to his site that have been laundered through a bookmarking site, url shortening service and a third-party search engine.
Sounds like a lot of work for nothing to me.
Surely the more time you spend on something that will have no effect the worse the result. Since doing nothing at all is a far more efficient way of obtaining the same outcome as the OP is asking about doing nothing at all is the best possible option for obtaining that result.
Social bookmarking is not the only way to get the better results…there are also other SEO techniques which will be helpful for you to get better results…do try article submission,directory submission, blog commenting…