App store does not recognise me through registered Apple ID and password.
After upgrade of OS, App store does not recognise Apple ID and password. Keeps asking me to review.
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When you get that message on your screen, tap Review to sign in, then review your account information.
Click Review repeatedly.
Some people have only had a response after a second or subsequent click.
Try to download a free app at the App Store.
For example try to download this (is an free app).
Log in at appleid.apple.com and make sure you have payment information stored there.
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See also -> Payment methods you can use with your Apple ID
Payment methods you can use with your Apple ID – Apple Support (UK)
fyi: Not all credit & debit cards seem to work with App Store / iTunes Store, try a different one, or preferably a credit card. If your card is not accepted as a paymenf method, you need to contact your bank.