Is describing months with negative terms, such as "lost September" or "confused November," considered reviling time, which is forbidden, or is it a description of people's circumstances that occur during them? And would it have been better to turn to Allah in supplication instead of addressing the months?

The Prophet, peace and blessings be upon him, forbade reviling time, because Allah is the One who alternates night and day, and the Doer of all occurrences and events. Reviling time, therefore, refers back to Allah. Reviling time is divided into three categories: First: Pure reporting without blame, and this is permissible. Second: The reviler believes that time is the doer, and this is major polytheism (shirk akbar). Third: Reviling time because it is the locus of a disliked matter, while believing that Allah is the Doer, and this is forbidden. Addressing months or inanimate objects is permissible if it is not intended as reviling or supplication, but rather as an expression of other purposes such as lamentation or astonishment. The phrases mentioned in the question are not considered reviling, but rather a description of people's conditions in these months, and it is weak speech that should be abandoned.