My sink set up gets blocked all the time when putting food through the garbage disposal. I took it apart and noticed the "Tee" had a very small hole for garbage disposal waste to pass through causing the problem so I removed this thin piece of plastic and now water backs up into the second sink when I flip on the garbage disposal. Water even shoots up through the garbage disposal side of the sink.
What good is a garbage disposal if you can't put vegetables, egg shells, and other food scraps through it.
Attached is a picture of my current set up and I don't think its right.