Validity of combined qurbaani

the shares which have to be taken out from the qurbani meat like share of Relatives, Neighbours and Poor. This cannot be done. As the qurbani is taking place elsewhere and there the related person distributes the meat to the poor and needy and to other poor madrasahs and people and children. This is done after telling and instructing the person from whom the money is taken that you will not get the meat and the meat will be distributed to the poor and needy ones. So when the person agrees then the person takes the money from him for qurbani .So will the qurbani be fulfilled on behalf of the person who has donated the money though he did not get even a single share of the qurbani animal. Is qurbani this way. Then the relatives and neighbours of this person might ask that what happened to your qurbani meat as we did not get anything. Will there be any sin for not giving their share?