Understand this is asked often. Each case is different though and have not found someone with my plumbing configuration (see pictures).
So when we turn on garbage disposal we get water shooting up non-disposal side just about every time. I am almost sure it is not a clogging issue. As a test I filled non-disposal side sink entirely with water and pulled plug, observe no water backing into garbage disposal or garbage disposal side sink (i.e. it is going down drain quickly). I am convinced this is one of those "garbage disposal shoots with great velocity, takes path of least resistance, goes up non-disposal drain".
I have attached pictures of my plumbing.
Based on all I have read it seems the disposal drain needs to tie in using a T-Baffle to force the waste to go down and not shoot across the 4 way connector. If you look closely a lot of the pieces are glued. I don't think I can get that 4 way connector out without cutting.
What would be the best solution? Some sort of check value in the non-disposal line?
Update - Added additional sketches and a picture of our home exterior to illustrate it would be difficult to have an exterior vent.