Sorry. I've only read some bits of this, so I might be repeating.

I don't go to a lot of monuments, but I do go to one monument a lot - at least once a week - and the only 'offerings' that I (occasionally) see there are the innards of small animals, or birds - left, I assume, by a full cat.

I suspect that these may be more 'authentic to origin' than anything else mentioned here; flowers, pottery, whatever. Good morning Great Moloch ;)

Not that I suggest a TMA member should head off on a killing spree.