SaveState's Furry mod requires moving Sim's eyes in order to fit their custom heads. However, it hasn't been updated in a long time and the morph that moves the eyes isn't available for some life states. There are two ways to fix this.

Simple Fix:
An easy fix for the issue is to apply the eye morph in CAS when the sims are just normal humans, and then turn them into supernaturals after exiting CAS. This can be achieved through game play or cheats. You will need to turn them into normal sims first if you are fixing the eyes are sims that are already supernaturals, which can also be done through game play or cheats. This fix usually can't be used on aliens though, unless you have a mod that allows turning human sims into aliens.

Better Complex Fix
This requires Sims 4 Studio to manually update the eye morph to work with supernaturals.

• Locate the furry_eye_preset.package and open it in S4S
• From the list on the left, select 'CAS morph'
• From the list on the right, scroll down to 'Tags' and press 'Edit Items...'
• In the new window, copy the 'Occult' tags until there are as many as supernaturals you want the eyes to work for.
• On the new created tags, change the 'TagValue' on the right to the supernatural you want the eye to work for.
• Save!