As mentioned, they don't since the summon monster "animals" are already templated Fiendish/Celestial. Also, the feat specifically mentions that it only works on "animals summoned with Summon Nature's Ally".
Ashbound is also just for SNA. If you want a feat to apply to Summon Monster you need Augment Summoning.
Though, you should take Greenbound anyways, since it's really good. Take Augment Summoning too...they stack.