As such, authority is a critical focus for most SEO experts, and rightly so. Most common SEO tactics, such as producing informative content and link building, are done with the purpose of increasing authority.
Domain authority is different from page authority.
TO increase domain authority you have to get backlinks to your root URL. For example: get link to Exmple.com instead of exmple .com/yourpage.
To Increase DA, following factor must be improved:
Linking Root Domains – This is the number of unique backlinks your website has earned. So if it has obtained 20 external links from two different websites, then you’ve only had two linking root domains. Earning a few links from different websites will boost your ranking more than earning many links from the same website.
MozRank – MozRank is the metric used to score the strength of your website’s external links. It takes into account not just the number of links that are pointing back to your site, but also the quality of those links. Quality tends to beat quantity, which means that one good external link is better to have than two low-quality links. MozRank uses a 0-10 scale (with 10 being the highest). The average MozRank rating for a website is a 3.
MozTrust – Like MozRank, MozTrust is a metric used to help determine the quality of your external links. However, it’s a little more specific in that it measures how closely your website is connected to trusted websites. Trusted websites are .edu or .gov sites. Even if a .edu or .gov site links to a site that then links to you, it’s considered a sign of trust that helps increase your MozTrustrating, which is also based on a 0-10 rating.
Quality Content – Content is one of the main factors on which a website’s search engine ranking is based on, so it should come as no surprise that the quality of your website’s content is a factor in determining its domain authority. While domain authority may help improve your search engine ranking, it also correlates closely with it.
It wouldn't matter as much
and also it depends how much higher.
PA and DA were never verified by google anyway.
with the newest algorithm, it focuses more on content.