I have to grade homework as a completion grade. That's the school policy. So, that's what I do. I assign homework, and I check it off when it's completed. I don't grade it. I don't even note that it was turned in after the date when I said it was due.
I watched a colleague today go through all his classes to track how many late assignments all his students had (our grade book doesn't do this for us). He was upset at all the work he had to do. I was sad for him. I don't do this work because I don't see how it benefits students except in an oblique way.
My colleague's comment was, "I sure wish we could go to standards-based grading so I don't have to grade homework anymore!" Um, sure, because SBG is all about making less work for the teacher.
I am still sad for him, because his eventual transition to SBG will probably be a tad difficult.