原句和网友改过的句子都对：

A judge has now overruled the city 's decision to stop levying fines, ordering them reinstated.

A judge has now overruled the city 's decision to stop levying fines, ordering them to be reinstated.

一些愿望、命令、意欲等动词，如：want, like, wish, expect, would like, order 可以接复合宾语，直接用过去分词作宾补。

I’d like the job done when I come back from the journey.

当我旅行回来时，我想让这工作（被别人）做完。

The father wants his daughter taught music in her free time.

父亲想让女儿在空闲时间学音乐。

【重要提示】上述动词也可以接不定式的被动式，作宾语补足语，即在过去分词前加 to be。例如：

They would like the book (to be) published this year. 他们想要这本书今年出版。 

Everyone wishes the matter (to be) settled as soon as possible.
人人都希望这件事情尽快解决。