They are eating the flowers before they turn into berries. They are not eating the leaves, nor the berries (because they can't turn into berries because they keep eating the flowers) but the FLOWERS. nothing online I have seen can help with what thing could be eating the flowers/unripe very small strawberries.

I've had mice and chipmunks eat mine. You could make a wooden frame and put bird netting over them to help protect them. Even that isn't guaranteed, but it helps. I've had things chew through the netting.