As a screen reader user, I find myself occasionally needing to reorder lists and cards. Looking at the code, I think drag-and-drop is supported but I'm not sure in which contexts this is true.

An accessible DND implementation is a bit complicated and I'm not immediately sure how to accomplish it. However, maybe some "Move up/Move down" arrows with aria-labels would be a good first implementation. They could be located in the heading for the card/board, and hidden with Bootstrap's sr-only style if you didn't want them visible (I know Bootstrap isn't being used here but you could look to its sr-only definition as an example of how to reveal something only to screen readers.)