lighting

Lit or lighted cigarette. Yours is false
They are the past simple form of the verb: to light.

Can you explain why mine is false. Thanks.

It's simply the wrong form of the word, Minhuoc.

Like saying "I had to use borrowing money to buy my car" - that's wrong. It's "borrowed money."

The cigarette was lit (sound better to me) or possibly lighted, but not lighting.

Is it OK if I use lighting here:
"Someone had thrown a lighting cigarette into a wastepaper basket"
No. Someone lit the cigarette, so it was a lit cigarette. cigarette is the object of light: "to light a cigarette".
If the cigarette was lighting something, you would say it was a lighting cigarette, but that's not what is happening here. (This would

But I guess you can say:

«Someone had thrown a burning newspaper into a wastepaper basket»

"Burning cigarette" seems not very good...

Burning - because the process of burning is meant, while to light a cigarette means to start this process — to set it on fire, not the process itself.

Thank you all of you for your kind help.

I understand clearly now.