Is it possible to move only that task which is not completed yesterday to today's
Are you looking for a workflow for doing that?
You could search for uncompleted items that are due yesterday, and then manually change it to today. If I understood what you meant correctly.
I'm creating a date-based structure. Just Like I've added to the screenshot below. I just want to move the pending work from 8/1/18 to 9/1/18
and the above method that you have explained can you tell me how to do that.
Unfortunately I don't see a screenshot -- you can drag and drop it to upload it to the forum.
If you just want to edit a date, click on the date and the date picker will pop up.