We got food that give us a boost in different ways like accuracy attack stat boost.
We also got food that when eaten effects the group.
So here is an idea.
Why not have food that also effects your pets.
Be it a BST SMN DRG PUP and NPC friends.
An example would be like this:
Angels Delight
User: INT+5 MP+20
Pet: Magic Acc +5 Magic Att +5
Roast Beef and Yorkshire Pudding
User: STR+5 Attack +15%
Pet: Attack+10% Range Attack+10%
Something along them sort of line.
Where you get the benefit of the food and the pet also gets something for it as well.