To start, I am a professional of 40 years in the trade, so you came to the right place - this is not uncommon with Goodman furnaces. So let's start from the very beginning on how the unit works. Then how to test each step.
1) Call for heat (R makes to W) - W now has 24 vac on it to ground (C) - need to confirm it is not being disrupted (I realize odds are not, but it has happened)
2) Before the venter motor comes on, the air switch must be open - failure to be open gives an error code.
3) Venter motor starts - the air switch will close - proving the venter motor is running (vacuum of 0.7" WC (0130F00505) (0131M00002PSP)
4) Once the air switch closes there is a short delay and the hot surface ignitor gets hot (B1401018S)
5) Aprox 3 seconds later the main gas valve opens, and we should have ignition. (B1282628S)
6) Control board is looking for a DC Micro amp feed back from the flame rod which is sent out a small AC power - rectifying the power to DC (0130F00010)
7) If after a few seconds - if flame proof is not proven, gas valve closes.
8) If at any time through or after this we loose our -0.70" WC venter motor proof, the gas valve will close.
9) If at any time through or after this we have flame roll out - the gas valve closes.
10) If at any time through or after this a high limit opens, the gas valve closes.
11) If at any time we loose our flame rod proof of flame, the gas valve closes.
Now we understand that there is more than one thing that can cause your issue.
Lets break it down to the most common issues Goodman has with the 80% eff furnaces.
1) Bad heat exchanger - I have seen this on units from 1 year to 5 years old
2) Bad air switch - Very common on all furnaces
3) Cracked or broken hoses from venter motor to air switch
4) Cracked fitting on venter motor to hose connection going to air switch
5) Plugged exhaust pipe to chimney
6) Plugged chimney
7) Plugged venter motor fan blades
8) Venter motor leaking air around it, not pulling air out of the heat exchanger
9) Bad high limit switch
10) Bad flame roll out Switch
11) Improper voltage to unit
12) Poor grounding
13) Bad control board
In this order is the list of most common, note the control board and grounding are last.
The GMT series should be a 80% efficient unit with a standard tin pipe going to a chimney, NOT directly vented out a wall.
I've seen this mistake a few times and it almost killed pets and people, so I assume it is exhausting up a chimney and the vent pipe is clear, chimney is clear. (Seen Birds in the pipes)
Before the first test, we need to explain a few definitions - I can only assume terminology we use is uncommon to most, so we will start there.
Inches of Water Column ("WC) - is how we measure very small amounts of pressure. 27.72" WC = 1 PSI. We know it takes .433 PSI to push water up a tube 1' or 12", when converting it, you would come up with the 27.72" = 1 PSI. One would not measure distances from New York to Arizona in inches or feet, we use miles. One would not measure the distance from Earth to the next near by solar system in miles, we use light years. In our case we are using a very small pressure, 0.70" WC or 0.0253 PSI. Gas pressure to the furnace manifold (burner) is also measure the same way. If you are using Natural Gas, it would be 3.5" WC on high fire and 1.75" if you had 2 stages on low fire. If you had LP it would be 11" WC on high fire.
Now we understand pressures. The air switch is measuring the vacuum the venter motor is creating. In your case we should be able to pull around 1.2" WC, and if we do not, we have a problem.
This is the most common issues of all furnaces, but now to understand what the problem is.
I'm sure you do not own a manometer that can read these small pressures, so let's attack it in a different way. First thing we do is very carefully remove the hose from the venter motor going to the air switch. Next, while still on the air switch careful suck with your mouth slowly on the tube and you should hear the clicking of the air switch. Your mouth is capable of pushing and sucking over 2 PSI (55" WC), so we do not want to damage it, as it will not take much for this to happen. With the hose off, start the furnace up. once the venter motor starts, start sucking a continuous vacuum on the hose, remember it will not take much. If the furnace starts up and stays running, you now have eliminated 9 - 13 of my list. If this is true, then we have 2 options, best option is to replace the switch and see if that resolves it. IF it does, I just saved you a several hundred of bucks. If it does not, we need to start going though the other possibilities.
Until we do the above, I will not go through the next step - this gets to be a long process - wish I could get paid for this as it does take a lot of my time, but it is what it is. Retirement leaves me with spare time to help others...
Amazon is one of my go to places to send people for parts, they have them on Prime for $21.
Let us know how you do, hopefully this solves it, and hopefully you do not have a bad heat exchanger. I worked on one of these 2 months ago, had to tell the lady her heat exchanger failed even though it was 5 years old. Either a new furnace or replace the exchanger. Warranty only covers the cost of the parts, not labor and I can install a new unit in less time than replacing the heat exchanger which could fail again. After having this happen 2 times in 2 years, my opinion of Goodman has gone from a rating of 8/10 to a 3/10, would rather see a Carrier installed before a Goodman and that is a low blow. I sent the lady back to the installing contractor to handle, they should do something for her. I are my $21 air switch and 4 hours of messing around, did not have the heart to charge her.
Thanks
Eggs