What is the role of 给 in this 把 ... 给 V construction? I came across the following sentence in EP340 of the 故事FM podcast:

把一个垃圾桶的盖子给返过来，把小孩放在上面换了尿布。

My question is about the role 给 in the first part, before the comma. Without the 给 it would make perfect sense as a simple 把 + Obj + V + Result construction, just as seen in the part after the comma. With 被 I am familiar with the 被 + Actor + 给 + V passive construction, as in 我就被警察给带走了。

But what's going on here with 把 ... 给 V?

I checked in the online Chinese Grammar Wiki, and in Yip Po-Ching's Grammar, but no joy. Any explanations and pointers are welcome :)
There are two kinds of usage of 给。Let's use the three sentences A, B and C as example:

风把门给吹开了。(A)
门被风给吹开了。(B)
门给风吹开了。(C)

In the sentence C, 给 means "passive", 门给风吹开了 = 门被风吹开了。

For the two sentences A and B, 给 is used to highlight some emotion a little. If you remove the 给 in the two sentences, they are still correct but they will become the same thing with the sentence A.

For example, your mom told you to close the door, you did but the door was opened because of the wind. When your mom asked you: why didn't you close the door, you can say: 风把门给吹开了。With this sentence, you are telling your mom that it's not your fault.

Another example. Your friend is passing you some paper outside while the wind is blowing, he may say: 小心点，别让风把纸给吹跑了。It means that your friend is trying to warn you: be careful when you hold the paper, because the wind may blow it away.

As mentioned, 给 can highlight some emotion but just a little bit. So normally it's still fine if you remove it: 小心点，别让风把纸吹跑了。--- Totally correct.