Ok, so long story short. I am trying to build a model that will simply copy a feature, and rename the copied feature with the date appended to it. Got it! I can do that, it looks like I had been doing that for a while, but did not realize it until I checked in Arc Catalog.
What I am hoping is someone can help tell me how to have the Contents show the correct name of the layer instead of name of the variable. I am fairly confident (but not certain), that if I schedule this once a day or week, I will have to go back and re-add the previous weeks layer, as it seems that in contents it will be overwritten everytime it is run.
Is there a way to accomplish this? Or any suggestions that someone might could share. Maybe a checkbox I may have missed.
Setup of Model:
How the Contents looks using "Add to Display" in the process:
How the Contents looks using "Add to Display" in the process showing the same names as ArcCatalog:
Contents result if Re-Added from *.GDB