I can see it's a complicated process to get the car into programming mode, as it should be for security. Follow the directions (line for line) until the door locks cycle, then use the key remote to complete the programming. Toggling the key ignition and door switches in the right order should get the factory alarm into programming mode to accept a new key remote's frequency.
Also if there is a delay on the interior lights wait for them to go out before moving to the next step when opening and closing the door.
Also if there is a delay on the interior lights wait for them to go out before moving to the next step when opening and closing the door.