We aren't allowed to bring any food into the church outside of the red eggs, the eucharist and blessed bread.
And the kolyva/boiled wheat, and wine and oil, I'm sure.
So, is this just a local custom or is there an actual "rule" forbidding bringing meat into the church?
Rule? Not that I'm aware of. Then again, coming from the Greek tradition, we don't bless food baskets in Church typically. Kolyva, Bread, Wheat, Wine, Oil, Eggs, and Grapes - that list essentially covers all the foods we bless in our Churches.