Automatically add a site map to Google and Bing
Submit your sitemap to Bing.com
http://www.bing.com/ping?sitemap=https%3A%2F%2Fyour-site.com/sitemap.xml
# This is how our site map looks like:
# https://ipax.dev/sitemap.xml
Submit your sitemap to Google.com
http://www.google.com/ping?sitemap=https://your-site.com/sitemap.xml
Check if your website have been indexed
Search for: site:your-site.com
Will work on Google, Bing, Yahoo and probably many more.
More about this topic from other sources
How to Get Google to Index Your New Website in 2019 (& 11 Ways to Do it Instantly)