The fruits of the sacrifice of the Cross are applied to us by the sacrifice of the Mass. Depending on God, bowed by this immolation, we are given the graces that Jesus Christ has merited for us at the price of His blood.
This is why the holy Mass is offered:
-- In order to adore God: it is a latreutic sacrifice;
-- In order to render thanksgiving to Him for His great glory and to thank Him for the blessings that He has given us: it is a eucharistic sacrifice;
-- In order to obtain other blessings from the divine majesty: it is an impetratory sacrifice;
-- In order to render Him favorable to the living, despite their sins and the punishment that is due to them, and to the dead, suffering in the fires of Purgatory: it is a propitiatory sacrifice.
The perfect sacrifice that is the Mass is offered to God alone. If the Church is accustomed to celebrate it in honor and in memory of the Blessed Virgin Mary and of the saints, this in not that she offers them this sacrifice, which only belongs to God, but in order to praise God for their victories and to implore their patronage and their intercession before Him.
The sacrifice of the Mass through which is rendered to God the cult that He is due is offered by a duly recognized Catholic minister. Each Mass is implemented for the use not only the celebrant, but also for the community of the faithful, living and dead, and especially all of those for whom the priest memorializes and for those for whom he formulates his intentions. This is perhaps for a person living or dead, or of a particular intention which has been confided to him.