This issue has been reported fixed a few times already (MCPE-113321, MCPE-131980), but it seems that it has never been properly fixed and tested.
Steps to reproduce
Plant some carrots on farmland and bonemeal them to maturity.
Spawn a few rabbits.
Expected result
The rabbits would "eat" the carrots, reducing their growth stage.
Observed result
The rabbits ignore the carrots.
Can't reproduce.