You can integrate 101soundboards.com into OBS (Open Broadcaster Software).
This will make the sounds you play on the web site or app output on their own audio input:
The sounds you play on 101soundboards.com will now play on your OBS stream.
If you want to use your smartphone to play sounds, copy the URL in Step 1 from your smartphone to OBS, and it will act like a remote control.
Have fun playing sounds!