I also had this happen at a company I worked at, so as the leader of the software team I had a secret meeting with them and told them going forward we would cre

I also had this happen at a company I worked at, so as the leader of the software team I had a secret meeting with them and told them going forward we would create fake burndown charts for the CTO. Totally worked. He never complained again. For all I know the CTO was reporting on burndown to his peers and superiors and was trying to tell us to make it look better.