Why DX HR Augmented Edition isn't in giveaway list?

Open a support ticket about it

damn, might have to give it away in this thread then.

oh well first time I heard a game isn't present

It's because this site adds games to the list based on how Steam itself adds games to its "list". Deus Ex: HR AE doesn't have its very own page on Steam; it's an attachment to the Deus Ex: HR page.

I already created a support ticket about this topic some days ago. You don't have to create a new ticket, just click here and read cg's answer.