How do you express about closing lids or covers of a box?
Do you just use "close boxes" like this without any other expressions and if I want to use lids or covers, would it be weird?

Just as she was about to came in, I managed to force the light to go out by plugging off and to close the box. so, even though she appeared a look of suspecting me doing something tricky, I was able not to show it empty.

Question

How do you express about closing lids or covers of a box?
Do you just use "close boxes" like this without any other expressions and if I want to use lids or covers, would it be weird?

Just as she was about to came in, I managed to force the light to go out by plugging off and to close the box. so, even though she appeared a look of suspecting me doing something tricky, I was able not to show it empty.

Answer

You can close a box, or you can close the lid of a box.
In the sentence you wrote, I'd say "closing the box" would sound more natural that "to close the box".

Also, "plugging off" isn't a phrase we use in English, to pull an electric plug out of the socket is "unplugging" so you can "unplug" the light.
Using a switch (or similar) is "turning on" or "turning off", which may be where you're getting confused.
You could also "pull the plug out".

Hope that helps.