you nonetheless are without a doubt a member of the worst period generation period ever period.

Now, none of this is the fault of a 20-year-old college student, but you nonetheless are without a doubt a member of the worst period generation period ever period.
当然 这都不是你这个20岁大学生的错，但你却毋庸置疑，生活在这个史上最糟糕最悲剧的年代
其中but you nonetheless are without a doubt a member of the worst period generation period ever period. 这一句的句型怎么分析，还有好几个period，怎么分析这个句子？

but you nonetheless are without a doubt a member of the worst period generation period ever period.

应该是：you nonetheless are without a doubt a member of the worst generation ever
这样就好理解了，句子主干是：
you are a member of the worst generation
在这里，period是句号的意思，newsroom，一部美国政治连续剧里出现的，以前广播用会把句号念出来，表示停顿，这里是用来强调非常肯定的语气，防止别人插话，无实际意义。

period 英 [ˈpɪəriəd] 美 [ˈpɪriəd]
n.时期;（一段）时间；学时；句号
adj.具有某个时代特征的；（关于）过去某一特定历史时期的；（家具、服饰、建筑等）某一时代的

搜一下：you nonetheless are without a doubt a member of the worst period generation period ever period.