You can embed Mastodon posts in your website or blog by doing the following:
1. Log in through your server's website
2. Go to the post or reply you want to embed and click on it to show it in an enlarged view
3. Click ⋯ on the post and select "Get Embed Code"
4. Copy-paste the HTML code into your website or blog
Lots of common questions answered about this at:
https://fedi.tips/how-to-embed-mastodon-posts-on-a-website
If you have problems embedding, see the article for suggestions.
@FediTips Is there a way to always show the newest post on my website? Probably not going to do it, but still interested.
Yes, if your website or blog has the ability to embed RSS feeds. The feed address of an account is its website address plus .rss on the end of the URL.