This is not a great translation of this verse. Here is a better one below from the LXX. It describes the then-current situation in Malachi's days. God was accusing the Israelites of offering shoddy sacrifices and worship to Him in Jerusalem when compared to the acceptable offerings and worship being made elsewhere by the Gentiles in those days.
"...I have no pleasure in you, saith the Lord Almighty, and I will not accept a sacrifice at your hands. For from the rising of the sun even to the going down thereof my name has been glorified among the Gentiles; and in every place incense is offered to my name, and a pure offering: for my name is great among the Gentiles, saith the Lord Almighty. But ye profane it, in that ye say, The table of the Lord is polluted, and his meats set thereon are despised.. And ye said, These services are troublesome: therefore I have utterly rejected them with scorn, saith the Lord Almighty..." It was a disgrace to the Israelites that the Gentiles had been giving acceptable worship to God, and they had not.
But this Malachi 1:11 text is not speaking of incense, sacrifices, and offerings still being made today, since that OT covenant system with its continual offerings became outmoded and defunct with the introduction of the New Covenant in Christ's blood.
Christ made one sacrifice of Himself once for all (not multiple times via a Eucharist sacrament), and no temple sacrifices by any priests needed to be offered to God after that single, one-time-only offering. That sprinkled blood of Christ is still on the mercy seat in heaven's temple, and provides a perpetual witness on our behalf.
Where did non-Christian gentiles (pagans) ever offer sacrifice to the God of our fathers?
There is only “one” sacrifice of Christ, offered eternally, not new sacrifice each time but one sacrifice, once bloody on the cross offered for all in the worship of the holy apostolic church!
And receiving the fruit the sacrifice the holy Eucharist the holy sacrament, Jesus Christ as He said: “behold I am with you unto the end” Matt 28:19
Rev 11:1 And there was given me a reed like unto a rod: and the angel stood, saying, Rise, and measure the temple of God, and the altar, and them that worship therein.
What is the purpose of an altar in a temple but to offer sacrifice?
John 1:29
The next day John seeth Jesus coming unto him, and saith, Behold the Lamb of God, which taketh away the sin of the world.
1 cor 5:7 …For even Christ our passover is sacrificed for us:
8 Therefore let us keep the feast, not with old leaven, neither with the leaven of malice and wickedness; but with the unleavened bread of sincerity and truth.
Christ is Eternal priest:
Heb 7:17 For he testifieth, Thou art a priest for ever after the order of Melchisedec.
The office and nature of a priest is to offer sacrifice, so an eternal priest offers an eternal sacrifice!
Christ is High priest:
Heb 8:1 Now of the things which we have spoken this is the sum: We have such an high priest, who is set on the right hand of the throne of the Majesty in the heavens;
Low priests / priesthood:
There must be low priests in the same order for a high priest to be over them. And the word in scripture “priesthood” is plural.
The holy sacrifice of Christ:
Holy sacrifice of Christ is offered eternally, the office of a priest is to offer sacrifice, Christ is eternal priest so He offers an eternal sacrifice! Both by the high priest and the low priesthood.
once for all sacrifice of Christ:
once bloody on the cross and for all time unbloody sacrifice, pure offering or clean oblation.
Jesus Christ at the last supper ordained the apostles as priests in the order of melchisedec, to offer His eternal sacrifice as he commanded them; do this in memory of me.
Do this in remembrance of me!
Luke 22:19
And he took bread, and gave thanks, and brake it, and gave unto them, saying, This is my body which is given for you: this do in remembrance of me.
1 Corinthians 11:24
And when he had given thanks, he brake it, and said, Take, eat: this is my body, which is broken for you: this do in remembrance of me.
1 Corinthians 11:25
After the same manner also he took the cup, when he had supped, saying, this cup is the new testament in my blood: this do ye, as oft as ye drink it, in remembrance of me.
Paul offered the holy sacrifice of Christ!
1 cor 11:23-30