Create Auto Populated List Field Based Off Multiple Fields

I have two or more fields of data, where parts of them are auto populated based on inputs from elsewhere. That part i have working fine, however the problem arises in taking that information and displaying it as a Bill of Materials list on another tab in my excel file. I want to take the information, and only display it in the BOM tab if that piece of information is being used (ie item count field not being 0). I know how to do that part in a rather simple format, however i'd prefer to make it so that when i have the list, and a certain item isn't used then its not included in the BOM, and an empty space is not left behind. I would prefer this to be all be done automatically by a formula if possible instead of just having to resort to sorting the table every time the tool is being used.

Is this even possible in excel, A quick example doc is attached, shows 2 example fields. i'd like to take the information from those 2 fields. and somehow create a single list, with a single heading along the top, with all row containing a 0 "Unit Count" to be omitted entirely from the list, and not have a blank space where the item should be. Keep in mind these fields may be greater than 2, and may not be position one after the other in a strait down line.

Example.xlsx