Had the same problem on my 2013 LTD, and through trial and error fixed it. Follow the instructions in the above video re removal of the inner back seat armrest/panel. Once you have that removed, the "flipper door" mechanism will remain attached to it. A couple of screws hold it to the inside of that panel; remove it from the panel to see where the door mechanism is jammed. It consists of a spring device mounted to dual tracks. As the top is raised, a piston extends from the roof hinge area near those doors, and pushes the door forward and under the side panel. When the top lowers, the piston retracts, allowing the spring to pull the door to the visible position to fill the gap in the panel. The flipper door assembly has pins on both sides and rides in those tracks. It's all cheap plastic and can deform if left in the jammed position for an extended period of time (mine had been that way for a year and required complete disassembly and a heat gun to reshape the plastic). After some time and effort, you should be able to get it back to working order and reinstall. Once unjammed, you can test the flipper assembly in your hand to make sure it slides smoothly again and returns to proper position.
Good luck!
Unfortunately, Chrysler does not support this vehicle any longer, or the easy fix would be to buy a replacement. I tried, and couldn't find the part anywhere...including junk yards.