White koans:
BADGER      MOLE
BEAVER      OTTER
CHIPMUNK    RATE
ERAT        TAER
FERAT       TEAR
FERET
FERRET
LEMMING
MARTEN
MICE

Black koans:
ART         MOUSEL
AT          OTTERS
BADGERS     RAT
BAT         SHREW
BT          SQUIRELLS
FRAT        SQUIRREL
HAWK        SQUIRRELS
KIWI        WEASEL
LEMMINGS    WEASELS
MOUSE

I guess that SQUIRELLS was a typo and you wanted SQUIRRELS, so I've added both.

White koans:
BADGER      MOLE
BEAVER      OTTER
CHIPMUNK    VERRON
ERAT
FERAT
FERET
FERRET
LEMMING
MARTEN
MICE

Black koans:
AT          OTTERS
BADGERS     RAT
BAT         SHREW
BT          SQUIRELLS
FRAT        SQUIRREL
HAWK        SQUIRRELS
KIWI        WEASEL
LEMMINGS    WEASELS
MOUSE
MOUSEL

Thanks for being understanding 

White koans:
BADGER      OTTER
BEAVER      VERRON
CHIPMUNK
ERAT
FERAT
FERET
FERRET
LEMMING
MARTEN
MOLE

Black koans:
AT        SQUIRREL
BAT       WEASEL
BT
FRAT
HAWK
KIWI
MOUSE
MOUSEL
RAT
SHREW

Sorry, I'm going to say this is too many. In this case it's not that I think your guess will trivialise the round, just that adding so many to the list at once is not fun and it would be nicer to play in smaller chunks.

White koans:
BADGER      VERRON
BEAVER
CHIPMUNK
FERAT
FERET
FERRET
LEMMING
MARTEN
MOLE
OTTER

Black koans:
BAT
HAWK
KIWI
MOUSE
MOUSEL
SHREW
SQUIRREL
WEASEL

Okay, I'll do one.

White koans:
FERRET

Black koans:
WEASEL

Bump. kaywhyn, is the above guess correct?

Don't be silly, it doesn't carry over like that 

HI
IHI
II
IIH

AA
AAC
CAA

HXH
OKI
OKO
QXQ

HXI
IXI
QXI

OKOP
OKPIF
OXI

OK
OKP
OKPO

FUN
TRICKY
TAXING
MAYHEM