I had intense wrist/fore arm pain in myt right arm that made me to ride a recumbent for a year. I found that raising the handle bars above the seat plus bar ends that pointed straight up helped a lot. Also I wore a wrist brace that had metal supports inside and padded gloves was also a great help. Never found a wrist brace for the left side. The metal brace chewed up my handle bar grips pretty bad, but that was better then the pain.
I figured that years of riding with too much pressure on my hands from being out of shape, too tall for most bike frames and getting older (in my 40s) finally caught up with me. Once you find a configuration that helps, you will probably have to stay with it for a few years to you recover.
How much higher are your bars above your seat? I found about three inches higher was a key for me.