User and Admin email notifications
Sprout Forms supports multiple Notification Emails (as of Craft 3) and multiple Email Template. Sprout Forms also now supports CC and BCC functionality.

Create a new Notification Email on the Sprout Forms-&gt;Notifications tab. Each Notification Email has a setting for the Event that you would like to use to trigger it. You can select the "When a form entry is saved" event to trigger an email when a form submission is saved.

While there are numerous ways to trigger an email to both an admin and the user submitting a form, two common methods are:


Setup a single Notification Email and set the To field to the handle of a custom field that has the users email, such as: {email} and set the BCC field to your email address of the admin who you wish to receive it as well. You can separate multiple recipients using a comma-delimited list.
Setup two Notifications Emails and adjust the messages of each to each respective audience. You can create custom, company-branded Email Templates for the user-facing email. Impress them and set expectations for any follow-up communications. Send a workflow-oriented email to the admin, showing all data submitted in the form and linking to any next steps the admin may have to take after the email is received. The default Basic Notification (Sprout Forms) Email Template will loop through and display all values of the Form submission.




Legacy Answer:

In Craft 2, you are correct that Sprout Forms can send multiple notification emails to both admins and users, however the default Sprout Forms notification currently only supports a single template.

It's on our list to consider updating this default behavior. For now, your best options are:


Send the same email to both users and admins. 
Add Sprout Email to the mix which integrates with Sprout Forms and allows you to customize as many emails and templates as you'd like and trigger them on the Event: When a Sprout Form Entry is submitted