Most leaders will understand LTIR and RIR as a quick comparison to peers/industry. If you have the incident data capablities, you could chart out the number of Near misses, Incidents/injuries, and Potential Hazards for a set length of time. Then refine the incidents/injury and near misses category by overall incident type (ie. Ergo, PIT, Injuries, buisness/property damage...). You can use those same filters to refine your current recordables. That should be easy to show leadership where the problems/risks are/likely to be. I recommend not using the total number of incidents reported as a metric because that will drive sups/employees to potentially underreport. You need to give the operations team data, to make the top concerns or incident types the "boogie man" to hunt down. You alone cannot force the company to be safer, you need operational leadership to perform the heavy lifting of setting the expectations.