For anyone curious on what controllers will work with Cuphead, I can confirm plugging this controller into the front USB port does work for me.
AmazonBasics Xbox One Wired Controller
https://www.amazon.com/gp/product/B07D12RPHX/ref=ppx_yo_dt_b_asin_title_o00_s00?ie=UTF8&psc=1
AmazonBasics Xbox One Wired Controller
https://www.amazon.com/gp/product/B07D12RPHX/ref=ppx_yo_dt_b_asin_title_o00_s00?ie=UTF8&psc=1