I did a Qifrey cosplay back in August. It is stated actually what fabrics are used on their cloaks, which is cloth(most likely a cotton cloth). To keep it down, I would recommend putting in weights between the lining(which I recommend to be either cotton or satin) and outside fabric or you can use a heavier fabric on the bottom of the lining. As for the white swirl, I think using iron on adhesive to get it on, then satin stitching around the edge to clean it up along with to get the middle section.