Rebb, I am pleased you find the information useful. No, I haven't made any design changes, thought about it since, or touched it lately. I gave it to my friend who needed some protection.
It is a pretty simple straight forward circuit, really basic, but it works. It is OLD technology, no integrated circuits, opto-isolators, micro-controllers or such.
The addition of some more ancient technology (not technology of the ANCIENTS, in case you are a SG-1 fan) could accommodate your garage doors. I googled on 12NO30 and somewhat to my surprise such are in stock and easily available. I hadn't used one of those since the mid-late 60's. That part is in a family of timers. The original mechanization/realization of that part was a filament/heater that took 30 sec to heat a "thingy" (bimetal strip or such) so that it moved and made (or broke) contact between a couple electrodes. There is also a NC (normally closed version that goes open on heating after the time delay. Modern versions may not be so crude as to have heaters and moving metal but could be functionally equivalent and fully compatible.
Using this sort of thing could give you the chance to alarm your garage doors as it would allow you to set your alarm and have 30-45-60-120 seconds (depending on the timer you picked) to exit the garage and have the doors closed before the doors were included in the alarm circuit. You would have to have a switch or other means of defeating the garage door circuit from outside the garage. In thriller movies this switch would be a vulnerability that would allow the Mission Impossible guy to break in undetected. In real life the class of burglar's you will most likely contend with will not defeat a circular security key type switch and if by some miracle they do they are in the garage undetected just as if you did not alarm the garage but the rest of the alarm is as it would have been with no change in the level of your protection.
If this appeals to you let me know and I will think about it when I get a chance and draw a schematic for it. I didn't price check the timers but you could easily if you google on 12no whatever or 12nc whatever (where whatever is 30, 45, 60, or 120)
Pat