I'm in the same boat as many of you. I can't stand this 2 step authentication thing. So, first issue is that the system asks for a code EVERY.SINGLE.TIME. I try to login. Doesn't matter whether its on my old macbook pro or new one i just got. Or on my iphone. Or on any one of our several apple tvs. Or on any of our ipads. Every time we login to just about anything it prompts us to enter the verification code. I've clicked "trust this browser" or whatever it says more times than i can count and it still continues to prompt for a code. I understand it asking ONCE. But every single time?!
2nd issue is that when it says its sending a code it doesnt typically send anything or is sending a code to who knows where. Nothing gets sent to my phone. I double checked my cell from the trusted number and it is. The only way to get a code is to click "i didnt get a code" and then force it to send to my phone.
The main issue is that for some reason the "trusted" part isnt getting saved (sorry don't know the technical wording for it). And we have one older apple tv that wont sign on no matter how many times we put in the code.
Does anyone know if this issue is possibly linked to IP addresses? I wondered if maybe because we use Comcast and i think the IP address changes that was the issue?? I'm grasping at straws here trying to get it to work.
Can you clarify the following:
- What are you trying to sign into? When you sign into your Apple Account, you have to provide the code every single time, for example.
- If you are trying to sign into iCloud, are you referring to iCloud.com?
- When you indicate that you have told it to "Trust this Browser" do you mean you have clicked on "Trust" on this pop-up:

Are you meeting all of the following criteria when you are performing your sign-in:
Once signed in, you won’t be asked for a verification code on that
device again unless you sign out completely, erase the device, or need
to change your password for security reasons. When you sign in on the
web, you can choose to trust your browser, so you won’t be asked for a
verification code the next time you sign in from that computer.
Have you read this support article: Two-factor authentication for Apple ID - Apple Support
Best,
GB