If you are promoting the site yourself, it will be interesting to know which pages were indexed by Google and Yandex search engines and whether they were indexed at all.
If you registered your site in the Web Wizard, you must go to Search Console and select the "Google Index" tab. On the "Indexing Status" tab, you will see a graph on which you can determine the number of indexed pages.
In Yandex.Webmaster, you must select the tab "Indexing the site", and then "Pages in the search."
The first sign that everything is in order is when the number of indexed pages grows and the curve creeps up. A decrease in the curve indicates problems on the site.
There are some so-called operators with which you can see the number of indexed pages. In the address bar enter: site: the address of your site, for example site: https://solomono.net
Experiment with the settings to see the results for several parameters, for example, in time, in a particular language or region.
You can check the changes in the indexing of pages in Yandex and Google using special services. One of these services is PR-CY. This service shows not only changes in the indexing of pages, but also a lot of other useful information, both in terms of seo-optimization, and on the technical settings of the site.
Indexing the pages of the site can also be checked using plug-ins and browser extensions. For example, Mozilla Firefox has in its arsenal an extension such as RDS Bar. Having opened your site in the browser with the plug-in installed, you can visually see all the information on: indexing in Yandex, indexing to Google, TIC and other indicators.