Roll-up to a Master sheet

I am seeking a best practice for the following scenario…

There are many sheets used to manage the work and workflow for several different work areas, each managed by different groups. The workflows are setup to automate notifications and stage for deliverables. I want to roll up only a few of the tagged deliverables to a master sheet, where other columns are added to tag the deliverables in different ways, which eventually feeds reports and data sheets for a dashboard.

My question - How can I roll up selected rows from certain sheets, but only certain columns from their original sheet. I cant see how to use an Index Match.

Thank you

Answers