Find IDs that match both values

Question

I'm trying to fetch from a table on another sheet, the IDs that have 2 values in common.

At tab Base" I have Name and Date, and would like to have on Lookup the ID's from tab To be fetched that match both Name and Date. Marked in green are the matching values I'm talking about.

This is in tab To be fetched

I was trying with this formula but it's not working. Even if it would, I think it would probably retrieve the 1st match, not all matches but it was a start, I guess.

=ArrayFormula(VLOOKUP($A$2:$A" "&$B$2:$B,{'To be fetched'!$A$2:$A&" "&'To be fetched'!$C$2:$C,'To be fetched'!$D$2:$D},3,false))

But I don't know nor why doesn't it work at all nor how to fully achieve the intended result.

This is the example google sheet.

Answer 1

use in C2:

=IFERROR(BYROW(A2:INDEX(A2:A, COUNTA(A2:A)), 
 LAMBDA(x, TEXTJOIN(", ", 1, FILTER('To be fetched'!D:D, 
 'To be fetched'!C:C=OFFSET(x,,1), 'To be fetched'!A:A=x)))))