Juergen Klopp has been Manager in waiting since July/August. Firminino was signed by the non- Rodgers side of the Transfer Committee on the recommendation of Jurgen.
It must now be fairly obvious that that his arrival has been a 'done deal' for some time, all of the negotiations to assemble his boot room team and agree his own deal cannot have been undertaken between now and 6pm on Sunday.
It sounds be very much that a demobilisation of Rodgers has been running in the background from before the time that he was requested to sack his assistanants, hence the offer to Gary Mac, where they will be feeling guilty about recruiting him, in the knowledge that it might just have been a for a short term.