As explained under Ether 11:5, the critical text will maintain the original wording here in Ether 13:22 with the use of the do auxiliary (“and the wars did cease not”). It should be pointed out that there are a few more examples in the original text of such a periphrastic use of the do auxiliary in negative clauses where the not follows the main verb:
The first of these was edited by Joseph Smith, but the two others have been retained (see the discussion under 1 Nephi 18:13).
Summary: Restore the original do auxiliary in Ether 13:22: “and the wars did cease not”.