Sociologist Catherine Kohler Riessman reports in her new book "Divorce Talk" that most of the women she interviewed—but only a few of the men—gave lack of communication as the reason for their divorces. 

本句，gave lack of communication as the reason for their divorces 是 that 宾语从句中的谓语部分，是个动宾结构。主语是：most of the women + but only a few of the men。

give sth. as the reason... 提出某事作为原因。

【翻译】社会学家凯瑟琳·科勒·里斯曼在她的新书《离婚谈话》中指出，她采访过的大多数女性——（以及）只有少数男性——都将缺乏沟通作为离婚的原因。