Could you tell me if the teacher in the video uses the phrasal verbs correctly? It's a short video.
https://www.youtube.com/watch?v=wb5qftmSnTw
One guy says, "Half of these you would never use in those contexts."... I think he's a native speaker.

I wouldn't use "spray down" in that case. But I think it's more common in the workplace. Like "Go spray down tables."

"wipe up" is common. It means "wipe the liquid up".

"scrub off" is common if you're talking about scrubbing off a stain. She seems to be scrubbing the sink. She's not scrubbing off anything.

I would use "rinse out" for a larger container. For just a cup I would say "rinse".

I would just say "open" / "close" for the cupboard, but "open up" and "close up" are common. I think they're used for something that takes more effort to open/close.

I would say "sort" for the silverware. "sort out" is used for problems. To "sort out" an issue is to resolve it.

"dump out" is fine.

I'd say "shake" for what she's doing there, but "shake up" is used to shake something more vigorously or for a long time. It can also mean "make radical changes".

She's obviously a native speaker, so maybe some of these differences are regional. Or, maybe she was just anxious to show you some phrasal verbs, even if the examples aren't that good.