I was testing Auto response rule for Email to case scenario.

In Case Auto-Response Rules setting I have set Critieria is Email origin should equals to Email & selected email template & Checked "Send response to all recipient" 

Email to Case set up - check attached picture

After sending email to service email address. Case is created & can see auto response under Case-> Feed but unable to see in Customer Inbox.

So, I followed all the required steps but unable to catch issue.

#ServiceCoud

#Case Auto-Response Rule