Unable to log in to iCloud

You have signed out Apple ID from Mac system preferences , in your screen shot it shows Apple ID address or password is incorrect .

There are few questions ( don't post your credentials here ) .

( a ) what is the version of Mac .

( b ) is the account set up with secondary authentication in which three answers for respective questions , date of birth , rescue mail address and its password is added or set up with two factor authentication .

If you have correct credentials they will be again required when you again sign in with same Apple ID and password in the empty field , click on ok .

if the Apple ID and password is incorrect , you have to click on forgot Apple ID or password , otherwise not .

You have to delete the characters inside the field ( take cursor on dead enter and keep on pressing delete key on the keyboard ) and then enter the Apple ID and then its password .

What happens when you enter correct Apple ID and password , do upcoming steps appear .

For 2FA account see the steps after the first screen shot ( delete Apple ID in red ) switching from secondary authentication t… - Apple Community

Users sign out secondary authentication account and then set up 2FA , and then again set up a new account or use another Apple ID say example2@yahoo.com it doesn't matter , in up coming steps if any step is missed error will show , sometimes from user library , click on finder > Go > hold option key > click on library > from preferences folder drag and drop com.apple.keychain.access.plist to the desktop is done but with approval of senior apple care advisors Contact Apple for support and service - Apple Support

But this is to be applied when you successfully establish the Apple ID in Mac system preferences .

In your Mac while signing out from secondary authentication , if any step is missed error will show .

See the thread https://discussions.apple.com/docs/DOC-13681

I had faced the same issue when - see the note section last paragraph .

Running safe mode is a very basic step and every one is aware of it .

See the article If you can't connect or sign in to iCloud - Apple Support

How to sign out from two factor authentication and then again sign in with the Apple ID used with secondary authentication .

( a ) Open system preferences and click on iCloud , click on sign out , a pop up window appears keep the box of iCloud Drive , contacts , calendars , reminders as checked and click on keep a copy .

Immediately click on stop updating and continue , so on the next pop up click on continue with sign out , the circle rotates .

( b ) Enter your 2FA id password and click on continue , circle rotates , wait for a while and it will stuck and have patience , you can see a red notification have encircled 1 over system preferences in the dock , take cursor on top menu bar and hover over system preferences you can see SBBOD , after a while a preferences error will be shown stating there was an error in iCloud preferences , click on ok .

( c ) Now open system preferences , click on iCloud in the window you will see update Apple ID settings , some account services will not be available until you sign out again ( having a yellow exclamation mark ) , click on continue .

( d ) Again it will show update apple settings , some account services will not be available until you sign in again , click on continue .

( e ) Enter your 2FA id password and click on ok .

( f ) enter your Mac password to continue in the next window , so enter your admin password and click on ok , after a few minutes the pop up error will go away .

( g ) Check the box of the keychain and in front of it no option button will be shown as it is 2FA .

when the user has set up secondary authentication account there is always an option button in front of keychain , this is the basic difference .

( h ) Check the box of photos and iCloud Drive , it will show setting up a small circle rotates , wait for a while and then click over options button every box in the upcoming window is checked and click on done , also check the box of Siri a pop up appears do you want to merge your bookmarks and reading list with iCloud , click on ok the box for safari that was dimmed will turn on .

Finally 2FA is set up with all the boxes as checked and you can see your Apple ID used with it in the location system preferences - iCloud .

I have asked what Mac operating system is used click on apple logo > about this Mac > is it Mac OS catalina 10.15.7 or earlier versions .

The error showing Apple ID verification failed you have skipped the steps when signing out the secondary authentication account and then signed in 2FA .

You have not mentioned which Mac operating system is used , simply signing out the Apple ID from Mac system system preferences , if it was set with secondary authentication even you create a new admin account in users and groups ( if the process of signing out in which any step is missed will show errors ) .

Your friend id account credentials are working are you taking a risk , when Apple ID is signed in empty fields your previous credentials are required and not of your friend .

You are missing some steps while signing out .

Can you post a screen shot of error here , please hide your mail address and personal profile pic .