"...an everlasting priesthood throughout their generations."

I have read of the priesthood of Aaron and its continuation in the service of God to the children of Israel. This priesthood and its priestly office was given to Moses' brother Aaron and his sons using terms such as "everlasting", "for ever" twice, and again "everlasting". The priest's charge of "atonement" to Israel was propagated through Aaron's sons and grandsons, "throughout their generations", by "anointing", "statute for ever" and by "covenant" thrice - "the covenant of an everlasting priesthood", as follows: 

Exodus 40:13-16

13 And thou shalt put upon Aaron the holy garments, and anoint him, and sanctify him; that he may minister unto me in the priest’s office.

14 And thou shalt bring his sons, and clothe them with coats:

15 And thou shalt anoint them, as thou didst anoint their father, that they may minister unto me in the priest’s office: for their anointing shall surely be an everlasting priesthood throughout their generations.

16 Thus did Moses: according to all that the Lord commanded him, so did he.

Numbers 18:19

19 All the heave offerings of the holy things, which the children of Israel offer unto the Lord, have I given thee, and thy sons and thy daughters with thee, by a statute for ever: it is a covenant of salt for ever before the Lord unto thee and to thy seed with thee.

Numbers 25:10-13

10 ¶ And the Lord spake unto Moses, saying,

11 Phinehas, the son of Eleazar, the son of Aaron the priest, hath turned my wrath away from the children of Israel, while he was zealous for my sake among them, that I consumed not the children of Israel in my jealousy.

12 Wherefore say, Behold, I give unto him my covenant of peace:

13 And he shall have it, and his seed after him, even the covenant of an everlasting priesthood; because he was zealous for his God, and made an atonement for the children of Israel.

Modern Jewry has put aside the priests of the Lord. Most have used New Testament verses to flush the idea of the Old Testament priesthood away as finally as it can be done.

As a male-line descendant of the biblical Aaron, I have a connection to the priestly caste of the Israelite nation, set up by God through Moses to bring his covenant people to his worship.

I am heartened by this scripture from the Lord in modern times. The Aaronic priesthood is reconfirmed alongside the higher Melchizedek priesthood.

Doctrine and Covenants 84:18

18 And the Lord confirmed a priesthood also upon Aaron and his seed, throughout all their generations, which priesthood also continueth and abideth forever with the priesthood which is after the holiest order of God.

Continuation through the Church of Jesus Christ of Latter-day Saints. There is scarce insight into its role after the destruction of the temple in Jerusalem, but added instructions from the Lord could clarify.