Without more of your code to go on, it's hard to say for sure what the root of the problem is.
Using a mixin inside a function is something I've never tried before, but I wouldn't be surprised if ACF is messing that up somehow. Can you move the mixin up to the component pseudoconstructor (outside of the methods, inside the component) and make it (your mixin) just a set of functions that can be called?
Alternatively, use a base class. That's the more traditional method of code sharing with objects. If you make base.cfc that extends taffy.core.representation; and then your resources extend base, then taffy's functionality will still work and you can share the functionality in base across any number of objects.
Adam