First Collection, Second Collection
Rather than Old and New Testaments, what if the first 39 books of the Bible were labeled as The First Collection and the second 27 books were labeled as The Second Collection?
This would be accurate because it would account for the collection of the first 39 books of the Bible and the collection of the second 27 books, without mislabeling the books as Old and New Testaments.
Prior to each section, a summary of how the first and second collections of books happened and how they are organized.