Hi,
Please try customizing the Listings Found and Requests Found (if you use the Requests extension) in HivePress/Emails section, you can override any email notification there. You can use a plugin like WP Mail SMTP to change the “from” name, email address, and other details for outgoing emails (also linking your site with Gmail or other email service improves deliverability).
There’s no SMS notification feature yet, but thanks - we’ll consider adding it.