Open both workbooks.
Activate the main workbook.
Let's say the IDs begin in A2 on the sheet in the main workbook.
In row 2 in an empty column, enter the formula
=ISNUMBER(XMATCH(A2, '[Other Workbook.xlsx]Other Sheet'!$A$1:$A$2000))
where Other Workbook.xlsx is the name of the workbook with the verified IDs and Other Sheet is the name of the worksheet in that workbook.
Fill down from row 2 to the row of the last ID in column A. Rows with identified IDs will have TRUE, and rows with not yet identified IDs will have FALSE.
As you add new identified IDs to the second workbook, their rows in the main workbook will change from FALSE to TRUE.