Thanks Alex. I have opened a ticket with Listimia re my theme related questions.
Re “These are sorted by date and listing count. There isn’t currently a setting to change that but I will make a note for the developers to consider that for future versions.”
I am not sure if my question was clear, but I poked around in the settings and found the solution. For each CPT, under General –> Advanced Settings, there is:
Order in post type list:
I just changed the numbers for the CPT’s so that they were in alphabetical order (with 1, with first). 🙂