I use a metal Cheery Lynn adaptor plate. If that doesn't work, I'll add thin CS or copy paper or washi, etc., just on the spots that aren't cutting.
But sometimes a die is just tough, and even feels less sharp than others. I brought two of my fave background dies to my LSS to try them on their Big Shots after fighting with them on my Cuttlebug, which usually cuts anything. The owner got the identical poor results that I did trying many solutions.
ETA - Cheery Lynn videos are on this page, just scroll down. But I noticed they have a video about another product called a Hot Spot Helper which explains why sometimes we have those tough spots. Interesting looking at the guts of a Big Shot. : )
https://cheerylynndesigns.com/videos/
