Right now it sorts monsters alphabetically, is there a way to change it so you can sort by cr rating or environment so that if you move from one type of creature to another it wont default back to alphabetically. 

There is a button I can see above the monster that let you sort by CR or alphabetically on both mobile and desktop.

Yes but once you choose another category it defaults back to the alphabetical setting, it would be nice to be able to choose how you want it sorted and keep it that way.

I second this.  It should remember your last sort and not just revert back to alphabetical each time.