Off Page SEO

I have 2 new sites that someone made for me. What are the backlinking techniques I should use for ranking my site?

There are tons of them and you have to be systematic in order to get good result.

Article directories
Private blog networks
Forum post
Forum profile
Blog comment
Web 2.0s
Wiki links
Rss feeds
Press release
Guest blogging
Facebook fan page
Video marketing

And many others.

1.Title tag optimization
2.Meta Description tag optimization
3.Use heading tag
4.Use of keywords in the body of your content and URL
5.Create Sitemap
6.URL canonicalization

The above is on-page SEO, not off page as you requested. Your first response provides a good list of sources to obtain links from. Head over to the white hat link building section and you'll get plenty of information there or where to start!

Or, you could always hire an SEO expert from BHW. It's pretty much filled with them..

Place your site link on your FB, Instagram, Twitter, LinkedIn, Pinterest and Tumblr social media profiles.
Find really good articles in your niche and share it on reddit. It’s very helpful for getting traffic.
Find forums in your niche, join them and answer questions by adding value. Leave your website link on your bio.
This requires a list of subscribers but it's free traffic and exchange an agreed number of clicks back to your site with other marketers who also own a list of email subscribers.