Exporting multiple .MOGRT files

I also didn't want to export 32 compositions manually for a project, and because I am software developer professionally I wrote a script to export multiple essential graphics compositions from After Effects including preview image and preview video as mogrts. You can find the script on my gumroad page: https://store.volltone.com/l/ae-mogrt-batch-exporter let me know if that helps. It is based on the manual process from this video https://youtu.be/VD6BGcUmn2o  but fully automated. There is also a free trial version, which has the same functionality but adds a watermark to the preview. 

There ought to be! It's a total hassle exporting multiple mogrt files. Very ill-thought-out.

does this do what you need?

https://aescripts.com/aep-to-mogrt/

You might be able to write a script that accesses the Essential Graphics Panel but I am not sure if the buttons in the panel are available through scripting. There is no built-in system like the render cue.