Use the Intersector, followed by the AreaBuilder that will do what you want. If you read the help for the LineCloser you'll see that it wil only work if it can "turns input linear features into areas by adding their start point as the end point." In your scenario this is unlikely after you have intersected your grid.
Thank you for such a quick answer!
But I have another problem because some line are not connected.
So before I need connect them.
I'm trying to use Extender...
Another way to connect lines together is the Snapper transformer. It all depends on whether the gap is caused by an undershoot, an overshoot, or a misplaced vertex.
But yes, one of the methods I've used in the past is to extend lines and then use the Intersector on them.