Thank you for the reply, I just came back online here.
I'm a little confused now, the remote that you pictured is a genuine "factory" "toyota" system, the alarm should NOT sound when the battery is disconnected on this setup. There should also not be an extra/seperate manaul for the keyless/alarm system on this one, it would appear that there has been an "extra" alarm added on top of the factory system here. Do you have any red alarm indicator lights on the dash that do not conform to a factory fit and are obviously added on?
Ok, they added the TDS system to this car then.
For future refrence this system will sound anytime power is disconnected and then reconnected.
What you do is this-
The button neds to be OUT when reconneting the alarm, then once the power is reconnected you push the button in, out , in, out, then turn the key to ON 3 times, on the third motion to ON the system will disable.