I bought these magnetic folder bins from Lakeshore Learning. (I have two since I have two groups of students.) I labeled both bins with the homeroom teacher's name, and those bins are where I keep each group's make-up work. The bins are always in the same place and are very accessible to students.
I also made these return address labels on Vista Print, and I stick them on any assignments my students miss while they are out. I write their name and date they were absent on the label and circle where I want them to complete the make-up work. I personally don't like to send work home that I will record a grade on just because I want to make sure the student does it independently.