In American English, "revert" never means "respond" or "reply." That is an Indian English usage. We don't use it that way in the United States. (I don't know about this usage in British English.)
"Revert" means "to return to a former habit, practice, belief, condition, etc." -
https://www.dictionary.com/browse/revert
Revert is often used with "back" but not always. Examples:
1a. She reverted to her old bad habits when she returned to her hometown.
1b. She reverted back to her old bad habits when she returned to her hometown.
2a. Scientists can make cells revert to an earlier developmental stage by manipulating their DNA.
2b. Scientists can make cells revert back to an earlier developmental stage by manipulating their DNA.
Both versions (a) and (b) are correct. Without "back" is slightly more old-fashioned and formal. With "back" is more common and informal.