Trying to find the ecm for a 2005 Chevy avalanche transmission control

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Not sure what you mean by 'the register'. That is an old fashioned name for a heater radiator? Do you mean something to do with the heating system, like vents of blend door actuators that control heat and cold direction?

or a window regulator.

https://www.google.com/search?q=2005+Chevy+Avalanche+window+regulator

Click Comment UNDER my Answer if you need further help. I will get a notification and come back.

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Question edited for clarity.
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It doesn't have one. Click this link, click on the Autozone link with the picture of one. One the site, add your year and engine, NONE comes up, it doesn't have one. There are no videos showing it for that model.

https://www.google.com/search?q=2005+Chevy+Avalanche.+idle+air+control+valve+location

AutoZone

https://www.autozone.com/engine-management/idle-air-control-valve

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The 2005 Chevy Avalanche is available with different transmission and shift options, which can affect the number of transmission shift solenoids present.

However, generally, the 4-speed automatic transmission (4L60E) used in the 2005 Chevy Avalanche typically has a total of 7 transmission shift solenoids. These solenoids are used to control the activation and deactivation of the transmission's clutches and valves, allowing the vehicle to shift gears smoothly and seamlessly.

It's important to note that the number of transmission shift solenoids may vary depending on the year, model, and configuration of the Chevy Avalanche.
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DTC P0700: Transmission Control Module (TCM) Requested MIL Illumination
The transmission control module (TCM) uses the (GMLAN) to signal the engine control module (ECM) that the TCM is requesting malfunction indicator lamp (MIL) illumination. This happens when the TCM has determined that a failure affecting emissions has occurred in transmission control system. When the ECM receives the message from the TCM, DTC P0700 will set.
DTC P0700 can not be cleared from the ECM until the related TCM codes have been cleared.
This is something best left to a qualified repair shop , doesn't need to be the dealer ! AMMCO could fix it . This code is telling that other codes are stored in the transmission control module . Need a professional type or factory scan tool to check these . As to how much it will cost , no telling without knowing the codes in the TCM !

you defently need to have that looked at as it can cause internal transmission damage. The ECM controls your shitung rage according to the signal that it gets from the speedometer among other sensors.
I don't want to bad mouth transmission shops but if you go to one 99.9% of the times they will tell you that you need an overhaul when all you may need is part replaced....

Could be your coolant temperature sensor is faulty,here's a link on how to replace.

2005 Chevy Avalanche.And you did the Throttle body sensor. Reduce power light coming on, APP and TPS that a shot in the dark, As for the EGR if that is a problem The vehicle is a speed density it also uses a MAF (mass air flow) . Whenever that light comes on I'm finding it in the transmission parameter not the TPS or APP (accelerator pedal position) first the 2005 Transmission has a high failure record, There is a transmission pressure control solenoid that is given wrong input data and send the transmission to self destruct. If this is your second problem similar to last year go ahead put a throttle body sensor, but the APP need to be in sequence with it. As for the EGR no it wont cause sluggish failure it is monitored by the MAF if the MAF fails then its back up by the MAP. For the reduced power light get the ECM reflashed

was the electric brake control module professionaly installed? first check the ground behind the module and make sure it doesnt share the same one as your heater. too much current on a poor ground can cause both circuits to quit working.

Those are your transmission cooling lines. Buy them and replace them.

When you install them, take your time...don't be in a rush.

i had the same problem, its the torque converter. I took my 05 c/a in because i was having shifting problem, the long and short of it is there is a breather on the tranmission that sucks in water from the road. the water and the atf dont mix. the dealer put in a torque converter and changed the fluid and installed a redesigned transmission breather.