Ramsey degrees, labeled and unlabeled partitions

Let K be a class of finite relational structures. Let Kn be the class obtained by adding labeled partition with at most n parts to all structures in K in all possible ways. Let EK be the class obtained by adding unlabeled partition, i.e. an equivalence relation, to structures in K. Assuming that K has an ordered Ramsey expansion and imposing additional properties on K we calculate Ramsey degrees for the structures in Kn and EK.