Don't use randomly found Modules. Craft your own. The end.
is a randomly found quest reward one, you can tell from the "Requires trait: Good" tag. That means the dog can't use it and whoever put it on the auction house is a 'bad person'.
Modules crafted from both randomly found handwraps, and crafted handwraps work perfectly. Note the absence of "Requires trait: Good"
Dog enjoying terrible module I'm about to unequip to demonstrate that PG modules are perfectly usable.
I'm unsure why the pointer didn't show up in any of the above screen shots, but they are most certainly real. The point of this post is just not to be afraid to transmute a nice pair of PG handwraps into a module; it WILL work fine, and the dog will be able to equip them.