A cutting remark is one designed to hurt or irritate the listener. We also call them "snide remarks", related to the Dutch word "snijden" (to cut).

Yes, Flora is right. Cutting remarks are critical comments, often sarcastic and negative.

I dont know the context or the pupose of using the phrase, while the literal translation is : The words or article is bold and in a unconstrained style with many negative comments. It may hurt one's feeling. Usually it makes bitter irony against some phenomenon or words. But sometimes it is a active and living language.