I was wondering If two Anti-paladins of at least 3rd level are both within 10 feet of the same enemy, do their Auras of Cowardice stack, resulting in a -8 to will saves?
The aura effects saving throws against fear effects, not against will saves in general. But otherwise yes they stack. Sometimes penalties are called out as not stacking (ray of enfeeblement for example) but unless it does, then by RAW it stacks.