The X theme does not have such functionality to add the Menu Items at the designated place you mentioned in the screenshot, unfortunately.
This will need a great deal of customization which is outside of our support scope. We will give you the pointers on how to add the menu, but the implementation will be on your shoulders.
The first step is to install the Child Theme. Then follow the steps mentioned in this article.
You will need to override the file below:
Then you can add the code my colleague gave inside the
x-logobar-inner DIV tag. It will add the menu items there, but then you will need to add proper CSS styles in X > Theme Options > CSS to make it exactly how you described at the top right of the main menu section.