It looks like the upper-body is driven by extra drivers which effectively set the spine to fixed value in the absence of real markers on the upper-body.
i think you can do two things
Change the pelvis makers a little bit it will impact directly the posture, but it will be very sensitive with this marker configuration.
Alternatively make a driver which enforces CoM of the upper body to stay above pelvis, and then simultaneously free up most of the extra driver on pelvis-thorax motion except rotation