Hello,

I have two websites, one with news as a k2 blog and another as main website that has a section with latest news (those I post in the news website).
Currently I update manually the latest blog to the main website.

I would like to ask if there is any way to feed these latest post automatically from blog website, and how?

Best Regards.

There are several aggregator extensions posted at the JED.
Makes sure you choose one that supports K2 items and not only the default article system.

Your free extension is suitable for this purprose?
simple-rss-feed-reader

Else, could you suggest me some?

Best Regards.

No, this extension only displays feeds, it does not store them in your database.

please tell me a characteristic that should have and a keyword in order to search it in JED.

Try aggregator.