How do I recover my custom silk lamp shade?

It is important to replace the inner liner - styrene and then you could just pick a fabric and use spray adhesive to apply to the styrene and trim it out with ribbon folder over or hemming tape.

https://homeguides.sfgate.com/safe-materials-lamp-shades-105933.html

and added link for some other HT lampshade projects to give you ideas

https://www.hometalk.com/search/posts?filter=lampshade

One way to do would be to wrap the wire frame with wide ribbon like florists use. Most places that sell sewing & craft supplies offer this kind of ribbon such as Michael's & Hobby Lobby, Wal-Mart, & even Amazon. It comes in many colors.

Using a tiny bit of hot glue, you can anchor the ribbon to the wire frame holding it in place so you can wrap it over the frame going inside & outside the top & bottom of the frame. When finished, anchor the end of the ribbon on the inside at the bottom with a tiny bit of hot glue.

Hope this helps.

http://smallthingssimplepleasures.blogspot.com/2011/11/how-to-recover-lampshade-tutorial.html

Excellent tutorial!!!

You can find excellent videos for recovering an older metal framed lampshade on You Tube.