Apple Sauce Donuts?
I'm a bit of a donut fiend and I've never seen applesauce donuts around here. Apple Cider donuts yes, applesauce, no. An apple cider donut would probably be a good replacement.
if she wants the round with a hole look, Demet's, Donuts with a Difference (both in Medford) and Kane's (Saugus) all have that type, depending on when you're there, but they are all pretty large... especially Kane's. If she wants a smaller one (I would, if I were an actor) it might be worth the trek out to an orchard to stock up and freeze them (they freeze and reheat really well). I like Cider Hill in Amesbury and Russel Orchards in Ipswich.
Otherwise if she wants more of a dough ball look, Betty Ann (East Boston) doesn't have apple cider as far as I know, but the look is straight out of grandma's kitchen.
Kane's Doughnut House
120 Lincoln Ave, Saugus, MA 01906
199 Mystic Ave, Medford, MA 02155
Donuts With A Difference
35 Riverside Ave, Medford, MA 02155
Betty Ann Food Shop
565 Bennington St, East Boston, MA