To send the submitted date to your AWeber account you should have the following information:
Your API key from here - https://auth.aweber.com/1.0/oauth/authorize_app/647b2efd
List unique id from here - https://www.aweber.com/users/autoresponder/manage
First you should open the settings of the project and then open the "Forms" tab, then choose AWeber and input the API key in the corresponding field at the end of the page.
After that you should open your project inside the builder and click on the "Form Settings" button in the settings of the column which contains the form, then from the right sidebar open the "Settings" tab and choose "AWeber" as form type and input the list id in the "List ID" field. And you should make sure that each field of the form has the same name in your AWeber account, to change field's name simply hover on the field inside the builder and click on the settings button on it, the from the popup you can change field's name, placeholder and set if it's required or not.