Burn down by feature / epic / initiative

As a manager of business analysts I want to see the definition "burn down" of a given feature, epic, or initiative over time. For example, how much of a given epic or initiative is being defined vs. ready for development vs. ready for release etc. at multiple points in time. The current reporting capability is very powerful for a single point in time snapshot, however, it does not allow for easy comparison between two points in time. See attached screenshot for an illustration. 

My management team is asking for this during our biweekly portfolio meetings as a must have. It sounds like JIRA may have additional burn down views and/or capability, but I would much prefer to keep all of this in Aha!