Offerings
It is customary for almsgiving to be done in the name of a departed person. This not only honors their memory, but is believed to also be of spiritual benefit to them.
The departed are also commemorated regularly during the Proskomedie of the Divine Liturgy. The name of the departed is given to the priest, who then removes a particle of bread from the prosphoron (loaf of bread) offered for the Liturgy. In the Russian usage, there is a separate prosphoron for the departed, from which these memorial particles are taken. After the consecration, these particles are placed in the chalice, and the church teaches that the departed benefit spiritually from this action more than any other on their behalf.
Read more about this topic: Christian Burial, Eastern Orthodox and Eastern Catholic Burial Ritual