The meaning of 'the least battered vegeteables' and 'scrag ends'

[Jupiter]

Hello teachers,

[Zakda]

I'd say "the least battered" vegetables are the least damaged ones, those that are not in so bad a shape compared to the rest of those you could find.
For the "scrag ends" I don't know either; might be some pieces of the animal you usually wouldn't put into the stew.

[Pamela]

Hi Jupiter,

In other words your ragout consisted of slightly beaten vegetables and meat taken from the neck of fowl/sheep and bones.