Hi Bogdan,
The reason why in the listing view it will not shows the html correctly because the content of the blog post has been truncated according to the setting
(EasyBlog>Settings>Layout>Truncation>Automated Truncation (Composer Posts)>Maximum Characters-350) .
There is an option to make the html got rendered correctly in the listing view by put readmore block in the blog content:
1. Put readmore block after the html block and before the youtube block
http://screencast.com/t/W8fKp4y9xFMK
Please give it a try