幹 is more like "Fuck" as in "I want to fuck you until I'm satisfied".
It could also be used in phrases like "[Fuck] your mom", "[Fuck]! It's too early." or even "I'll [do] him in".
More polite meanings of 幹 includes a tree [branch], [do] a task, [main] department etc.
I use the word "pork" in place of "fuck" because I think it sounds better. Feel free to change it if you like.
I actually like the usage of this pork instead of fOck, because in the way how I interpret it, a man fOcking a woman would be considered normal, but a man fOcking something that used to be a man would be gay in that world.
Since you are porking them instead of fOcking them, it is totally fine, as some sort of euphemism to free holders from the idea that they are, in fact, engaging in a homoerotic relationship.
It also fits this humorous setting without using a crude word.
Anyway, thanks for the translations. Keep up the good work.
Updated
Please, let's just find Tagarou quickly...Is this really the time to talk about that?I'm just hoping that Mickey will willingly let me pork her as much as I want.There's not much point otherwise.His clothes are all torn to shreds, and left in such an embarrassing pose right here in public.Hurry, before she causes a serious incident...This...it's really too much.And there's these claw marks, was he attacked by a beast?