Effective suspension training requires focussing on rhythmical engaging of your core during workout exercises.
One of the common errors in the suspension workout performance is the inability to maintain a neutral pelvis position. This is especially true for women who have tight hip flexors and under-active lower abs and glutes.
Tight hip flexors and under-active lower abs and glutes create a forward tilt in the hips which is visible in the arching of the lower back. This is called anterior pelvic tilt. Add to it, weak ab muscles and you have a totally exposed lower back and a recipe for disaster.
Take a look at the image on this post. Notice how the glutes are tented up and the lower back is arched. This is a weak and harmful position for a TRX push up.
As you perform your squats, pulls, and pushes with your TRX suspension trainer, remember to keep your core engaged and pelvis in a neutral position during your motions. Core control is the central piece of suspension training.