The story doesn't progress in any sort of logical matter, doesn't have real ending either, just stops.

这个故事没有任何逻辑上的进展，也没有真正的结局，只是停止了。

youdao

If they had made any sort of move that was in our direction we would have made a countermove already.

如果他们对我们方向采取了任何行动的话，我们也就会进行了反制。

《柯林斯英汉双解大词典》

Included among these cells are hairs (leaves have hairs), any sort of bump or ornamentation, and most important, stomata.

这些细胞包括有毛(叶子有毛)、任何突起或纹饰，最重要的是气孔。

youdao

If you have any sort of a mass or growth in your neck at the same time, that would be very suspicious."

VOA: special.2009.09.02

You can adapt it for any sort of possible purpose, but the crucial thing is to keep the distinction between meaning and significance clear."

你可以为任何目的将其改编，但重要的是你必须,将意思和意义分清楚“

耶鲁公开课 - 文学理论导论课程节选

I guess that all of the things you need to get into any sort of school,

我想，无论要进入哪一个学院，你应该具备的所有条件就是

法学院的入学过程 - SpeakingMax英语口语达人

That would allow Weill to wash his hands of the fiasco without any sort of mea culpa.

FORBES: Doin' The Citigroup Shuffle

If she were nominated as Secretary of State, would that pose any sort of conflict?

WHITEHOUSE: Press Briefing

Kashima: A company's stock tends to go up when it makes any sort of restructuring announcement.

CNN: REALITY CHECK TIME