You can see a list of messages Momence has sent on your behalf (transactional) to customers and teachers. You can also view any messages you've manually sent from Momence.
To do this, click Settings > Messages
From here you can view messages by category, and can see those sent to customers or instructors.
Use the blue filter button off to the right to narrow your search further. Notice how the menu changes depending on which category you have selected on the main page -- Transactional vs Sequences vs Manually sent.