Shouldn't be two different versions of the item pack as far as I'm concerned, might be that they've an older version or other way around though that I wouldn't know of.
It could also be the reason that 1 of you installed other items before the item pack by Delay and Ringo. Causing the order of these items to appear differently in the character creations screen. The config file in the game doesn't really give a unique ID to the items so it works this way.
User 1.
item 1 Tie
item 2 Bracelet
item 3 Antlers
item 4 Nosering
While User 2 might have this order
User 2.
item 1 Bracelet
item 2 Nosering
item 3 Tie
item 4 Antlers
So if both users wear the 1st item on the list, it will look like the other user wear the same item to them. But if they'd say which item they wore, one would say Tie, another would say Bracelet. So the only real way I can think of this is getting fixed is either that you or the other user make sure you install your items in the very same order(Which isn't exactly the easiest thing to do). Or we can hope for a future update that lets the item creators assign some sort of unique ID or even a config that works a different way, that's out of my area of knowledge though.