Both cases involve front page splashes about a free giveaway of toys and games where there was insufficient stock to satisfy demand.
For the daily, the adjudication says:
We noted there appeared to have been a lack of communication between the Express, Mattel and ELC resulting in the promotion going ahead when there was insufficient time or stock to satisfy demand. We understood that participants were told about the delay, but nonetheless considered that, because the toy was not available to collect as claimed, the promotion was misleading.
For the Sunday Express:
We considered that the Sunday Express and Argos had not demonstrated that they had made a reasonable estimate of demand for the board game and, moreover, had encouraged readers to purchase the Sunday Express as a precondition to obtaining the board game when the number of items was limited. We concluded that the promotion breached the code.
The ASA has ruled neither promotion should run again in its current form, but since these were one-off giveaways, they probably weren't going to be repeated anyway. And there's no penalty other than a written ruling that few people will ever see.
So while Richard Desmond may have removed his newspapers from the jurisdiction of the Press Complaints Commission, we can be sure the ASA will still be holding them rigorously to account. Ahem.
(Thanks to Amit for the tip)