Procon-SP, an agency in the state of Sao Paulo, Brazil's richest and most populous, said in a statement it notified Apple that it has 10 days to provide the information.
The agency said Apple employees refused to sign the notification, but Procon considered the company notified.
The agency did not say what could happen if Apple does not comply, but it has the power to fine or propose legal action against companies for causing losses to consumers.
Press representatives for Apple in Brazil did not reply to requests for comment.
Apple apologised on Dec. 28 over its handling of the battery issue and said it would make a number of changes for customers. The company said it would cut the price of an out-of-warranty battery replacement from $79 to $29 for an iPhone 6 or later, starting this month.
(Reporting by Gabriela Mello; Writing by Tatiana Bautzer; Editing by Alistair Bell)