When pujas performed, normally, the officiating priest takes the items (like rice, wheat, grains,...) remaining after the puja or used during the puja. I have seen priests take the grains, some also take the cloths, and others take kalash with coconuts as well. I have also seen where priest doesn't take any unless given by the host.
Interested to know what shaastras say about who gets these. We may not have direct reference to pujas; hence I am ok if reference is related to sacrifices where remnant items (like ghee) are mentioned.
[Edit start]: Answers are coming as "Remnants belong to Rudra". But purohita taking it is general practice; is it the greed of priests resulted in this custom or are there scriptural views? If remnants are prasadam (belongs to Rudra), why not leave that to host? If the host gives it to the priest (as daanam), then it's fair. Otherwise, doesn't it mean priest taking away what may not belong to them. Hence I am looking for answer which explains whether priest can take this unilaterally or not; whether it's priest's right? Does it only belong to priest or only to host or both have a share of what truly belongs to Rudra? [Edit end]
Any additional details, like the items officiating priest is entitled to and which one he isn't (for example: the utensils used; assuming priest can't take gold plates of the householder!), would be good to know as well. Which ones priest can take, which ones the host must give to the priest, which ones remains with host?