The Bible mentions a lot of books that aren’t included in God’s Word but that doesn’t prove that He wanted the Apocrypha to be included in the canon of Scripture.
For instance, in the Old Testament it mentions “the book of the wars of the Lord” (Num. 21:14). In the New Testament, Paul talked about an epistle that he wrote before the Book of 1 Corinthians (5:9). And there are many other examples of this as well (Josh. 10:13; 2 Chron. 9:29; 12:15; 13:22; 1 Kings 11:41; Col. 4:16; Jude 1:14; etc.).
The bottom line is, if God wanted those books included in His Book, they’d be in His Book. The fact that they are not indicates that while they may have contained trustworthy and quotable information, but they were not “given by inspiration of God” as “all Scripture” is (2 Tim. 3:16). source