The bidding should go in one of two directions. An aggressive pair:
3S 4H (in expert circles – cuebidding the ♥A, If South had really held hearts they would have bid them over 1♣ therefore this must be a cuebid and invite slam. It would be unclear whether this was in support of clubs or spades or just a general “I have a good hand”.)
6C 6S (or pass 6C since we have more trumps in clubs than spades)
A conservative player the bidding would go:
3S 4S (deciding that since partner has shown 11 cards in the black suits and all of their points are in the red suits….that this is not a good hand)
Remember that in a Reverse, the first suit bid is always longer than the second suit. So, since rebidding the spades the second time showed 5 spades, North must have 6 clubs.
Also Remember that I play a reverse game forcing, so we could not have passed below the level of game. It would have been impossible for my partner and I to play 3C.
I confess, I would have “Gone for the Gold” bid 6S and then probably have been to high. How did spades break and who had the Queen? Would I have made 6S if I finessed for the Queen?