The YouTube App not to be confused with what you see on a Web Browser is an odd duck. No home button here but I can press the back button and that gets me there or back to where I came from.
Don't confuse what you see with a web browser to this app.
When I try to get to the You Tube site, by searching Google,with my new Android phone, I get a mobile version, instead of the main page of You Tube, that I get with a computer. Why is that, and how can I get to the main page, where I can do searches, etc?