By him therefore let us offer the sacrifice of praise to God continually, that is, the fruit of our lips giving thanks to his name. (Hebrews 13:15)
Therefore, I urge you, brothers and sisters, in view of God's mercy, to offer your bodies as a living sacrifice, holy and pleasing to God--this is your true and proper worship. (Romans 12:1)
Yet the outward, sacred signs of the Old Covenant--- the sacrifice of the bread offering, the offering of the lamb --- were to be perpetual institutions. As it is written:
2 Chronicles 2:4 2
[And Solomon sent to Huram the king of Tyre, saying...] Behold, I build an house to the name of the LORD my God, to dedicate it to him, and to burn before him sweet incense, and for the continual shewbread, and for the burnt offerings morning and evening, on the sabbaths, and on the new moons, and on the solemn feasts of the LORD our God. This is an ordinance forever to Israel.
Exodus 12:17
So you will keep the Feast of Unleavened Bread, because on this very day I brought your regiments out from the land of Egypt, and so you must keep this day perpetually as a lasting ordinance.
God told Moses that the Passover Feast should be a perpetual institution. Malachi said the offering of incense and the pure offering would be practiced in the gentile nations "from the rising to the setting of the sun". But where is this perpetual institution still practiced? Among the gentiles? Where?
Surely all the prophecies and types of the Old Covenant must be fulfilled, and fulfilled in a perfect manner, by the Messiah. For only the Messiah could be the perfect High Priest as well as His Body and Blood being the perfect sacrifice.
By giving us his Body and Blood at his celebration of the Passover, Jesus perpetuated the Passover in a manner in which the "perpetual institution" could be celebrated from east to west among the gentile nations, and be fulfilled.
It's good and true and utterly necessary --- but it's not enough --- to say that we offer our thanks and praise, and ourselves, to God, since that was understood even in the OT: for God was always warning against an empty sacrifice which did not involve the inner self, the heart.
What is needed is a perfect Priest offering a perfect Sacrifice in a manner that can be perpetuated among the gentile nations from the rising to the setting of the sun. We offer our thanks and praise,our selves as a fitting sacrifice: but the ONE perfect sacrifice to offered as a perpetual institution among to gentile nations, even to this day, is the ONE Divine Liturgy, the ONE Sacrifice of the Mass, which offers the ONE perfect Sacrifice, once and for all, to God for the sake of our salvation.
"My" offering of "my" self to the Father is good and necessary, but not perfect. Jesus offering Himself to the Father, is perfect.