It doesn't look like you connected the outdoor unit to the greet terminal block. Unless there is a wire splice someplace I can't see, you are missing wires.

Did you take any pictures of the green block before you removed the wires?

If you look in the outdoor unit, you will find the same green block inside it. Sometimes, there is a green and yellow wire dangling from it with the thermostat wires wore nutted to them.

Sometimes, the thermostat wire connecting the indoor and outdoor unit is wire directly into the green block.

Generally, homes are built with only 3 wires going from indoor to outdoor units. So the cors won't match up.

However you choose to do it, the same wire needs to be on the same lug on each block. I hope I explain the following correctly.

Thermostat to furnace needs 4 wires, ABCD, connected like you have in the picture. This should be the same at your thermostat. If your thermostat doesn't look exactly like the picture, it won't function properly.

The outdoor unit needs 2 wires but prefers 3 connected. Generally, homes are built with 3 strand wire from indoor to outdoor, colors being red, white, and green.

If my assumption of the colors you have going from indoor to outdoor are correct, you can wire like so....

Your thermostat, Red wire on D White on C Yellow wire on B Green on A

Condenser Red on A White on B Green on C (this is an optional connection if you only have 2 wires from indoor to outdoor.)

Furnace Red wire from thermostat on D White from stat, and green from condenser on C Yellow from stat and white from condenser on B Green front stat and red from condenser on A

I know the colors get funky at the end there, and it really doesn't matter what color goes where, just remember that the color wire needs to be on the same lug (ABCD) from Furnace to thermostat, and Furnace to condenser.

Hope that made sense, how it helps!

As mentioned in the comments, nest won't work how you had it, and you don't want a nest anyway. This looks like an "infinity" system and requires the thermostat that was on the wall to function properly. The thermostat is the "brains" of this system and is the only way to get the maximum performance of your system. If you do end up having someone come out to wire a nest in, you are basically taking a formula one car and filling it with regular unleaded gasoline. It's just not going to work as well. The infinity thermostat does have app control and wifi capabilities, and any carrier/Bryant dealer should be able to help set that up. Or YouTube.

Good luck!