What is this "Google Backlink Checker" you mean? When did you make the backlinks? Where did you make the backlinks? Sometimes it can take a long time for Google to recognize backlinks you made to your site.

What kind of backlinks have you created?

If you've only created low-quality backlinks such as those coming from directory submission or profile links, chances are they won't ever get indexed even if you create 2nd-tier backlinks pointing towards them.

Make sure to ping your backlinks after you've created them. You can use the following site to massping many URLs all at once:

PingFarm | FREE Mass Ping Site To Ping Your URLs For More Backlinks

Also, it may take some time for the backlinks to get indexed and even when they get picked up by the search engines, the backlink checker tools may not show them. Most of the backlink checkers have their own link crawlers and these are usually much slower than the Googlebot.

I checked and there is no backlink. After a week, I'm sure you'll get one here from WF...

Comments on blogs, post in other forums with your signatures, create articles and submit to article directories, submit your pages to social bookmarks...

Setup webmaster tool for your blog, wait for 3-4 days, and then check you backlinks there. Sometimes it takes time to count the actual backlinks by Google.

It takes a while for backlinks to show up in any backlinks checking tools. I would suggest you wait a while before checking.

How many days you've waited? it takes some time

it is very simple:
the backlinks they tell you to create on blogs, forums, directory sites etc are good for NOTHING,
they are useless and they do not stick,
you are wasting your time,
like i wasted mine,
the only way to get good ones is to pay for high quality backlinks or to buy high PR sites where you can create them yourself

you will get banned on every forum you go for spamming,
nobody is gonna approve your comments on blogs,
and then to get accepted on directory sites (it is so exciting, my favorite part),
not mention the article sites like ezine articles, where you have to have a certain number of words and original content,
instead of adding content to my own site, i do it for ezine as if it is gonna help somebody,
these people are so fake,
but for some reason, we, the beginners, are supposed to believe what the so-called 'guru' scammers tell us

if you chose the right niche and really wanna stay in the first position on the first page of Google, really, i do not think there is another way,
unless the site has no competition and you do not need backlinks

I've got 1000s of backlinks to my website, Google has never registered any of them :s lol

Most of backlink checker are not quite fast to index and show you a backlinks you've made.
I think you shouldn't worry about a backlink checker, whether show or not the backlinks you've created. If you done it correctly sure you'll have the benefits