With Elgato Sound Capture, you are able to include Skype audio into your Stream or recordings.
Skype Setup with Elgato Sound Capture
To set your Skype up for Elgato Sound Capture, it only requires a few easy steps.
1) In the Skype task bar, locate and click "Tools" and then click "Options".
2) In the Options pop up, locate and click "Audio Settings" on the left navigation bar.
3) In Audio Settings, under "Speakers" click the dropdown box and select "Speakers (Elgato Sound Capture)".
4) Click Save.
Your Skype is now set up for use with Elgato Sound Capture.
How to use Elgato Sound Capture
See this guide for more details about how to use Elgato Sound Capture:
How to use Elgato Sound Capture