When you copy files from one S3 bucket in account A using credentials of account A to a bucket in account B, the owner of the files in the destination bucket will be account A. (Account A is the principal that created the files in account B's bucket).
During the file copy from source to destination bucket, add the --acl bucket-owner-full-control
option so that account B can control the files. Otherwise you might have files in account B's bucket that account B cannot access or control.
Another option is to use the credentials of account B to copy from the source to the destination bucket. This way the owner of the copied files is account B.