homepage meta description not showing in google

Hello,

​Thank you for getting in touch with us.
​
​1. ​You should check if your title/description is properly set up in the page source:
https://i.rankmath.com/HwXR1o

You can use this tool for the same as well: https://www.heymeta.com/

2. If it matches your settings, then you must check if Google has seen the changes already or not.
​
For that, please check when the Google cache was updated for that page:
a.

b.

If the cache date is from before adding the new meta description, then you just have to wait for Google to re-crawl and re-index the page with the new info. If the date is after you made the changes,
​
​Do note that if everything’s fine and Google still decides to show a different meta title/description for your search keyword, there is nothing you can do as Google sometimes ignores the custom meta info altogether and show something from the page’s content that matches the search intent better.

The best you can do is optimize your meta tags to try and match the intent of the search/keyword.

You can read more about it here

https://support.google.com/webmasters/answer/35624?hl=en

This section sheds light on that:

Why the search result title might differ from the page's <title> tag

As for the links under your domain, those are called sitelinks and getting them is an automatic process. Basically, you just have to have enough authority and backlinks for Google to deem your website worthy of those sitelinks.

Here’s Google take on it:

https://support.google.com/webmasters/answer/47334?hl=en

And here’s how to get sitelinks:

https://bloggingwizard.com/google-sitelinks/

Hope that helps and please do not hesitate to let us know if you need our assistance with anything else.