How to display posts by category on the main page?

Question

WordPress

Greetings! Tell me, is there any plugin / widget for the implementation of the category-by-category display of various entries on the main page, as on this site: https://sechenov.ru/
Or do it like www.msmsu.ru in the spotlight and other category entries on the main page)
The latest version of WP
There are no special plugins
Theme is academica pro 3
I will show the site on request, if it makes sense

Answer 1

Hello!
At the office There are quite a lot of different plugins on the VP website, as well as on codecanyon, for displaying news in a similar way. I will give an example of the most famous.
1) https://ru.wordpress.org/plugins/content-views-que...
2) https://codecanyon.net/item/newscodes-news-magazin...
3) Visual Composer
4) You can create template, assign it as a template for the main. And quickly make up the layout by adding the necessary cycles with WP_Query and sorting them into categories