In RMC-II, Beast Mastery is developed for each type of animal as you have been using; dogs, bears, horses, etc.
"Each specific type group of animal is developed separately." (pg. 25) In addition, page 88 has a list of difficulty modifiers that may help with your question.
Herbivore + 30
Omnivore +0
Carnivore -30
Non-Intelligent -50
Low Intelligent -10
The list continues with situation (befriended/mothered from birth) and group types.
Avians (birds)
Bovine (cattle, buffalo, deer, etc.)
Canine (dogs, wolves, foxes, etc.)
Equine (all horse types)
Feline (all cat types)