what is the meaning of "wrong way around"?

You use "way" in expressions such as "the right way up" and "the other way around" to refer to one of two or more possible positions or arrangements that something can have.
The flag was held "the wrong way up" by some spectators... It's important to fit it "the right way round."
see p.1765 "way" [21] Collins Cobuild English Dictionary for Advanced Learners

所以the wrong way around的意思可能是："繞錯了方向"（正確的方式應該是「順時針」或「反時針」，但卻繞錯，成了反方向）。

大致上為調換、錯置 、 本末倒置、 亂七八糟等
適當中文需依全文而定，網路已有資料如下：
What's another word for 'the wrong way around'? Here's a list of synonyms for this word.
adjective.
inside out.
back-to-front.
inverted.
reversed.
topsy-turvy.
transposed.

adverb
back to front.
in reverse.
inversely.
contrariwise.
inside out.

Cambridge Dictionary例句為
He put the wheel on the right/wrong way round.

backward.