Techniques are described for storing and accessing data on heterogeneous types of data repositories, such as by a distributed software system that uses multiple data repositories on multiple computing nodes, including to transfer groups of data between multiple heterogeneous types of data repositories. In some situations, the techniques may be used by a system that stores various types of data regarding users or other entities that are modeled by the system, such as to transfer a group of data that represents an entity. The transfer of data may be facilitated by use of an abstraction interface that provides a uniform interface for accessing the multiple data repository types, such as an abstraction interface provided by one or more storage management components that further provide functionality to translate data between various data formats used by the multiple data repository types, such as via use of a common data format.