Just submit your website to Bing webmaster tool & Yahoo webmaster tool. It will help you to get your website crawl by the Bing & Yahoo Search engine crawlers. Then keep on collecting quality backlinks for your website. It will help you to get good ranking for your targeted keywords on the Bing & Yahoo
Yes by submitting your sitemap over Bing & Yahoo you get help to crawl by Thses search engines and Generate Backlinks for website enable you get ranking with these search engines. Yahoo consider both nofollow and dofollow as vote for website.