All praise is due to Allah, and may peace and blessings be upon our Master, the Messenger of Allah.
Charitable organizations entrusted with slaughtering sacrificial animals (uḍḥiyyah) and distributing their meat on behalf of their owners are obligated to safeguard the meat from spoilage, damage, theft, and any other harm. This is because such organizations act as agents (wukalā') on behalf of those offering the sacrifice, and an agent holds what is entrusted to them in trust (amānah) — whether they receive a wage for their work or act on a voluntary basis.
If the sacrificial animal is damaged after slaughter during the processes of packaging, transportation, or storage due to negligence or oversight — whether on the part of the organization's own staff overseeing the operation, or on the part of third parties contracted by the organization such as transport or shipping companies — then liability falls upon the negligent party, who is required to compensate for the value of the sacrifice. It is not permissible to cover such compensation from the organization's other donor funds.
However, if the damage to the sacrificial animal occurs without any negligence in its preservation and storage on the part of any party involved in the transportation, shipping, or storage process, and is instead attributable to force majeure circumstances beyond their control, then no financial liability is borne by any party in such a case. And Allah Almighty knows best.