Bug in villagers

The farmer villager don't use the crops and when killed, drop all of his loot, the farmer villager don't share his loot with other villagers, which cause a problem with villager reproduction. Only the player can give food to villagers(except the farmer villager), to make them start breeding. All of you can see in images that I give a farmer villager some carrots and after I killed him he dropped all of the carrots. I DIDN'T put the carrots there, those were the villager's carrots if you note that they are in the same place that the villager