This recipe has already been veganized:
http://veganmonster.wordpress.com/tag/v ... in-donuts/But for future reference, in case the veganized version leaves something to be desired, these are just pumpkin muffins, nothing special, that one egg is pretty negligible. You could replace it with applesauce, use soured soy instead of the milk called for, flax egg, or ener-g egg. Another option is to just use another recipe for the base and roll in melted e.b. and cinnamon sugar, like Isa's pumpkin muffins:
http://www.theppk.com/2009/11/the-best-pumpkin-muffins/, or bake a recipe for baked pumpkin donuts in a mini muffin tin:
http://ohsheglows.com/2011/08/16/mini-c ... oil-chips/