I'd take one of the doors to a few local kitchen cabinet
companies and see what they say. They may be able
to quickly identify them, know if they are available, etc.
And see if there is any identifying info as to the local
company that installed them, who made them, etc.
If they are not available, there isn't something very close
that could work, etc then they could almost certainly be
reproduced or repaired. How much will depend on if
it's a simple cabinet door or one with a lot of detail, etc.
Cabinet makers can do some cool things. I
recently replaced a fridge and ovens. In both cases
I needed to have the cabinets above shortened. Local
guy did both of them for $225. Now I have a nice
tall fridge and shiney new double ovens. In the case of
the ovens, I also went from 27" to 30". I performed that
part of the cabinet matching magic myself.