Embedding an EDpuzzle is as simple as copy-paste! There are 2 types of links you can add from EDpuzzle: Videos and Assignments.
Click on the '+' icon and select 'Embed'. You can simply copy-paste the link from EDpuzzle into the embed item on Sutori as on the screenshots below.

If you wish to get students to record responses. Log in as a Teacher in EDpuzzle, assign the video lesson to a class, click the "Watch as a Student" link and finally copy that link to the embed item on Sutori.

Copy the URL link from EDpuzzle and paste it into the Sutori embed item

Here is where the "Watch as a Student" option is on EDpuzzle