What does the contract for storage of things during searches provide?

You probably mean the contract for the storage of material evidence seized during the search.

In general, physical evidence is kept during the case, with the exception of bulky items, which are kept in the bodies of inquiry, pre-trial investigation and in court or transferred for storage to the relevant enterprise, institution or organization, about which a protocol is drawn up.

But, for example, a car can be kept by its owner by a court decision. Storage of vehicles and other self-propelled machines, as well as devices and mechanisms that were used as tools for committing crimes and recognized as material evidence, as well as vehicles that have been seized, if they cannot be transferred to the owner, his relatives or others for safekeeping persons, as well as organizations, is carried out by the resolution of the investigator, prosecutor, judge, court decision during the pre-trial investigation or trial by the relevant services of the internal affairs bodies, security services, tax police units (in cases that are being processed in accordance with their competence), whose managers give a receipt about this, which is attached to the case. The receipt indicates who is personally responsible for the storage of the accepted vehicle.