I have updated my Reply-To email address and saved the changes, however, the email templates on the Email page under accounts still show my previous email address
In order to change the Reply-to address for an email template, you will need to click into each template individually and edit the field.
Explanation: The Reply-to field at the Email tab is auto-populated with the email address that was entered as the main Account Contact Email Address by the customer upon creation of the Litmos instance. This main account contact address would be edited at Account settings,>Profile,>Contact Information. However, updating the address at the Account Contact Info does not cause it to update in the Reply-to field at the Email tab. Further, updating the Reply-to field at the Email tab does not update any of the email templates and therefore template is to be edited individually.
Please note that the sender of system emails is always reflected as email@example.com, and just the Reply-to address is customized.
For more on the subject, check out the Account: Email course in Litmos Dojo.