Hi katrskzv
Looks like in zCloth setting rest Scale Envelope is not animated. May be that can be one of reason collision around rib cage bone missing.
For the zSolver setting would suggest using backward Euler option for Integrator. Since i believe u r using fascia to create inner fat mesh for modeling.
subsets and Newton Iterations on zSolver are way too high.
Looking at the image I feel the ribcage bone Model thickness is very less. i would reconsider modeling ribcage volume to get a good collision. But nevertheless you can still get the collision by scaling down the zSolver .
Just Curious looking at the image ! for fascia model creation are u using only bones ? any reason for not using Muscle model.