The two he-goats that were brought on Yom Kippur were both equal in color, height and price. If they weren’t equal but they were already used it is okay.

They both should be bought together, if they weren’t it is okay.

If one of the he-goats died before the picking of the lottery, you should find another. If after the lottery one died, you take another pair and make a lottery. The cohein gadol says if the one lahashem died, then the one which was lahashem in the second lottery should be in its stead. If the one that is for lazazel died, then the one which was lazazel in the second lottery should be in its stead. The leftover one should be left to pasture and when it gets a blemish, it should be sold and the money goes for nidavos. A sin offering of a private person that cannot be used, must be left to die whereas here it is not private therefore it gets sold. R’ Yehudah says it dies. R’ Yehudah says that if the lahashem he-goat’s blood gets spilled, they must start with two new he-goats and the original laazael should die.

Yuma 6:2

The cohein gadol then came to the he-goat that is to be sent to Azazel and presses his two hands on it and confesses. This is what he said, ‘I plead to you Hashem, avuo, pashuo, and chatuo before you, your nation the house of Yisrael. I plead from you Hashem to forgive laavonos, vilapishaim, vilachataim sheavuo, vishepashuo, vishechatuo before you, your nation the house of Yisrael, as it says in the Torah of Moshe your servant, "I will atone for you on this day".’

The cohanim and the nation in the courtyard, when they heard the explicit name for Hashem coming out of the cohein gadol’s mouth, would kneel and fall on their face and say ‘baruch shem kivod malchuso lelolam vaed’.