The 1841 British edition accidentally added the definite article the before record, an obvious typo since the text refers only to “bearing record” (37 times, including here in Helaman 8:14), never to “bearing the record”. The subsequent LDS edition (1849) removed the intrusive the.
Summary: Maintain in Helaman 8:14 and elsewhere the consistent use of “to bear record” without any determiner for record.