The meta description tag has little or nothing to do with organic Google search rankings. Indeed, you do not even need to have a meta description tag at all.
The only place it is sometimes used is as a snippet in the search results and even then Google can and often will use their own snippet if they think that yours does not describe your site well or is too spammy.
Finally, when did you make your site public? How long ago? Any time you make changes, especially with a newer site, it takes time for those changes to be reflected in Google search, anywhere from days to weeks or even months, depending on the popularity and amount of searches for a specific site.
You can set up a Google Search Console account for the site and submite the URL for a sitemap directly to them there. That will help to speed up re-crawling to pick up the changes.