To program the remote in the picture you provided, you need to remove your glove box (how to at this link: Glovebox removal
Next, you open the keyfob/remote and take out the programming chip. Place the chip in the alarm "brains" that you have uncovered behind your glovebox. There is a door on the "brains" that you flip open and place the chip. Next, you push the little button that's also behind the door you flip open and you'll see the red light above your gear shift (next to the cigarette lighter) flash. That's it! Now put everything back together again and you're ready to go.
There are other directions to program other remotes (open the trunk, open the door, stand on one foot, etc.) but those don't work with the remote you've indicated.