I’ve done a fresh install of 7.11.15 and it seems to have come with the password email templates.
However, here are the useful template values I could see:
Forgotten Password link:
$contact_user_link_guid
User’s username:
$contact_user_user_name
Auto-generated Password for User:
$contact_user_user_hash
2FA code:
$code
You should be able to add the above variables to the appropriate Template, (or add them to a new Email Template), and select that template in Admin->Password Management