Christs death produces saving results in that by it the Children of God/Sheep/Church is gathered unto God Jn 11:50-52
50 Nor consider that it is expedient for us, that one man should die for the people, and that the whole nation perish not.
51 And this spake he not of himself: but being high priest that year, he prophesied that Jesus should die for that nation;
52 And not for that nation only, but that[in order that] also he should gather together in one the children of God that were scattered abroad.
Clearly the purpose of His dying for that nation [jews] but not them only[gentiles] was for the gathering of them together to form them into One People unto God. This is also expressed earlier in John here Jn 10:16
15 As the Father knoweth me, even so know I the Father: and I lay down my life for the sheep.
16 And other sheep I have, which are not of this fold: them also I must bring, and they shall hear my voice; and there shall be one fold, and one shepherd.
The word bring here serves the same purpose as the word gather in Jn 11:52.
The word gather means συνάγω:
to lead together, bring together, come together (pass.), entertain
Usage: I gather together, collect, assemble, receive with hospitality, entertain.
to join together, join in one (those previously separated):
This speaks to the jews and gentiles being once separated, now being brought together by the death of Christ Eph 2:11-19
This gathering was prophesied in the OT here Gen 49:9-10
9 Judah is a lion's whelp: from the prey, my son, thou art gone up: he stooped down, he couched as a lion, and as an old lion; who shall rouse him up?
10 The sceptre shall not depart from Judah, nor a lawgiver from between his feet, until Shiloh come; and unto him shall the gathering of the people be.
Christ is Shiloh. This is probably what Caiaphas the high priest was moved to utter about Jn 11:49ff
The word for gathering in Gen 49:10 is the word yᵊqāhâ:
obedience, cleansing, purging,; obedience:—gathering, to obey.
The Death of Christ was designed to bring together the people of God from among all nations to the obedience of the Faith, under One Head.