I'd like to learn more about the case of having two domains linked to two (content-wise) completely different websites representing a single company in one location.
The existing website contains information about the company, its products and open jobs with a link to the new website.
The new website (with a new domain) however contains only information about working for the company and again, open positions. It contains a lot more info about the company as an employer than the existing general website as well as many unique images. It runs WordPress with the SEO Yoast plugin and is optimized for the three keywords, which are the company's name, the word career and the town it's located. I've also taken care of performance, Sitemap, Search Console and general WordPress settings but not Google MyBusiness, as it only counts for one domain. Now for these keywords it ranks pretty good and lands a spot on the 5th search result (2nd in Bing).
But what can be done to rank it better for other keywords (containing the company's name) too?
How can I "tell" Google that this new site is a part of the company and an extension to the existing website?