If Machine God’s Effigy copies a Saga that has become a creature due to an effect, it will have that Saga’s chapter abilities, but it won’t get a lore counter every turn because it isn’t itself a Saga since its only card type is artifact. Unless it has the read ahead ability found on some Saga cards in the Dominaria United set, it also won’t enter the battlefield with any counters. If you do find a way to put lore counters on it, the appropriate ability or abilities will trigger. It will not be sacrificed after it has lore counters equal to its final chapter number.