Link to item breaks if one board or group of items is moved

Hello, would like to hear thoughts and suggestions on this: I have two boards (let’s call them Board A and Board B) which I linked in order to mirror some columns from one to another board. At the end of each month one group of items in the Board A (from which I am mirroring info) is moved to some other board, which leaves my Board B (the one where I am collecting data from the first one) empty for all items from that group of items which was moved.
Any suggestions how to solve this so that links don’t break even if the Board or group of items in it is moved?