Certify the Record
To certify is to make a written representation or guarantee that something is authentic, acceptable or true. For example, a certified copy is a reproduction of a document that has a statement attached to it stating that it is a true copy of the original. To certify can also mean to make a judicial determination.
To certify the record is to transmit documents constituting the record in a case to a higher court for appellate review with a certification stating that the documents make up the actual record of the proceedings.