The module doesn't show native language names

I think you probably want to be using the 'translated into target language' config option instead of 'language native name'. Also needs to be made sure that you have your required languages enabled and their translation files available to the site.

I have changed the settings, but it doesn't make any difference. That's the problem.
Of course, the languages are enabled, otherwise they won't be shown in the dropdown menu.
The translations do exist.
Please see settings2.png, translation2.png and screenshot2.png files.

I used "Language Native Name" config option on D10 site as the same option on my D7 site is working exactly as I want.
Please see the attachments. It seems that both options 'translated into target language' and 'language native name' use the same behavior.

Please close this issue

@ddd200 This feature would be working with Drupal 7 module 7.x-2.7 ,

But it does not work with the 8.x-2.1 module for Drupal 9, 10.