How did the name of the Judeans and their religion changed during the exile in Babylon?

The Babylonian captivity or Babylonian exile is the period in Jewish history during which a number of Judahites of the ancient Kingdom of Judah were captives in Babylonia. After the Battle of Carchemish in 605 BCE, Nebuchadnezzar, the king of Babylon, besieged Jerusalem, resulting in tribute being paid by King Jehoiakim.[1] Jehoiakim refused to pay tribute in Nebuchadnezzar's fourth year, which led to another siege in Nebuchadnezzar's seventh year, culminating with the death of Jehoiakim and the exile of King Jeconiah, his court and many others; Jeconiah's successor Zedekiah and others were exiled in Nebuchadnezzar's eighteenth year; a later deportation occurred in Nebuchadnezzar's twenty-third year. The dates, numbers of deportations, and numbers of deportees given in the biblical accounts vary. [2] These deportations are dated to 597 BCE for the first, with others dated at 587/586 BCE, and 582/581 BCE respectively. [3]

Im not sure if this is right but i think god