Anti-convulsants/anti-epileptics affect bone density

I take two anti-convulsants and was told they may have contributed to my lower bone density. I was diagnosed with osteoporosis at 49. I take Lyrica/Pregabalin for nerve damage and fibromyalgia. And I take Trileptal/Oxcarbazepine for mood stability. I'm wondering if I should try to lower the dose on each of them. Has anyone else been told their lower T score could be caused by their anti-convulsant?