The 2 free games that I get in August with my Xbox live gold membership is only appearing...

Yes, you certainly can. The bottom of a 2 Day Gold Pass states the following:

XBOX LIVE 2-Day gold Membership, free trial allows access to these Gold features: online multiplayer gaming, Netflix, ESPN on XBOX Live, Facebook, free game demos, exclusive discounts, promotions and video content.

Free 2-day trial offer is only for use on the XBOX 360 and is not valid for current XBOX Live Gold Members. At the end of your 2-day trial period, your membership will default to the FREE XBOX Live Membership, unless you elect to extend your XBOX Live Gold
Membership.

Now what this doesn't tell you is that you cannot play in ranked matches with the trial membership, but you are free to play in social matchmaking playlists for games.

Actually 3 games

The next set of free games for Xbox Live Members in August will be Crackdown, Dead Rising 2 and Dead Rising 2: Case Zero.

Starting tomorrow (August 1st) the award winning Xbox 360 exclusive Crackdown (Normally 800 points) will be free for Xbox LIVE Gold members through August 15th .

Then on August 16th, Xbox Live Gold Members can grab BOTH Dear Rising 2 (Normally US $14.99) and Dead Rising 2: Case Zero (Normally 400 points) for free.

Hey mate, I found this on the FAQ:

I renewed my Xbox Live Gold membership and I didn't get my Rewards Credits. Why?

Credits for renewing your Xbox Live Gold membership will appear on your MyRewards page within 2 days of your current Xbox Live Gold membership ending and the new one beginning. In addition, if you allow your Xbox Live Gold membership to expire before you
renew your Xbox Live Gold membership, you will be ineligible for this offer.

From here: http://rewards.xbox.com/faq/

If you have a current Xbox live Gold membership, and the game you're trying to download is gold free, then it is free as long as you have gold membership. I have a few games that I got for free using my gold membership.

heres augusts free games Crackdown, Dead Rising 2 & Case Zero www.oxmonline.com/crackdown-dead-rising-2-case-zero-free-xbox-gold-subscribers-august
linky enjoy