Dofollow backlinks and Nofollow backlinks are two ways by which sites are linked. In both ways, the origin site is connected with the destination site. However, you do not get any SEO benefits if you receive the Nofollow links. Although you do not enjoy the benefits, the Nofollow links do increase the organic traffic to your web page. With changes in algorithm sites are now even benefiting with Nofollow links.
If you get a Dofollow backlink, the search engine will provide you with increased Domain Authority (DA) and Domain Ranking (DR). In this case, the link passes credibility to your site. This affects your rankings and overall search appearances.