I recommend the following:
IMPORTANT: Please be gentle in the forward folds. Unless you have super flexible hamstrings, please keep some bend in your knees. Gentle forward folds are great for stretching out the lower back. Straining in a forward fold position can do pretty serious damage.
I second
@Heniek 's concerns re: yoga and backbending. If you are noticing the problem most during your yoga practice--especially if you experience discomfort during or after backbends, ease off on your backbending practice. Try bridge pose instead of wheel, low cobra instead of up-dog, and for locust lift only your legs or only your upper body, not both at once. Also, try to keep your hips neutral during backbends. Externally rotating the hips (allowing your knees to splay out) may help you to get a bigger bend--but this comes at the expense of overactivating muscles you don't want to be doing all of the work in backbends, turning off the muscles you do want to be using, and potentially causing unhealthy compression in your lower back.
This article is a bit lengthy, but it has some good info in it re: backbends that looks to be solid to me. (It's written by a yoga teacher and physiotherapist.)
DISCLAIMER: I am a certified yoga teacher. I am NOT a medical professional. If your back pain worsens or continues long-term, or if you've been diagnosed with spondylolisthesis, spinal stenosis, osteoporosis, or any other pathology affecting your spine, or if you have concerns you may suffer from any of the above, please seek out professional medical advice before continuing with any backbending, forward bending, or spinal twisting practice. Yoga is a healthy practice for most people, but pretty much every pose comes with cautions and contraindications. If you're in pain, that's a sign something is wrong.