Should one make up the Asr prayer after remembering not having performed it ten days later, subsequent to the Maghrib prayer, and how is it to be made up?

The prayer about which you had doubt regarding its performance must be offered to resolve the dispute and clear one's conscience, and there is no obligation to observe a specific order between prayers. However, if you are afflicted with obsessive doubts (waswasa), then do not make up that prayer and do not pay attention to this doubt, for the cure for obsessive doubts is to disregard them and not pay them any mind. Doubt after an act has no effect, and similarly, if doubts become frequent.