The Ready State Virtual Mobility Coach is like having a virtual Kelly Starrett in your pocket.
Hard to say for sure, but it sounds like Upper Cross Syndrome brought on by poor posture, more so because its showing up in both shoulders now.
I responded to a thread a while ago detailing what I did to fix some pretty severe UCS. Not sure if it pertains to your situation, but it could be worth a read.
I don’t outline a program, but go over exercises and stretching that helped and how basically sitting slouched in front of a computer was the main cause. Its been about 1.5years since I got it and its completely cleared allowing me to do all types of upper body exercise with no discomfort what so ever.