I do not have to prove your assertion. I, however, did tell you the evidence for my position. After the Assyrian captivity, those nations taken were supplanted by others of other nations. Those tribes taken never recovered their lands, titles, family names, inheritance, or even a place among the Sanhedrin as elders.
Even some (not all) Jewish rabbis state this:
R. Akiva states that "the ten tribes shall not return again" (Sanh. 10:3). In commenting on
Leviticus 26:38, which the rabbis apply to the ten tribes, R. Akiva states that it refers to their complete disappearance (Sifra, Be-Ḥukkotai, 8:1).
The Bible says that God was so angry with them that He removed them out of His sight:
2Kin 17:18: "Therefore the LORD was very angry with Israel, and removed them out of his sight: there was none left but the tribe of Judah only."
2Kin 17:23: "Until the LORD removed Israel out of his sight, as he had said by all his servants the prophets. So was Israel carried away out of their own land to Assyria unto this day."
While in scripture, we see also Judah and Jerusalem removed, they by God's grace were allowed back after 70 years exile in Babylon, and Jerusalem rebuilt. However, not in a single place in scripture, is anything ever said of the gathering again, or return of northern tribes of Israel. They are called "the ten LOST tribes" for a reason, irrespective of all the non scriptural nonsense in this world about 'where' and 'who' they are.