If the button is grey, that means that the person looking at the record has already completed their part.
Information to assign a proxy approver in the effort system can be found here: http://training.hr.ufl.edu/instructionguides/effort_reporting/ja_requesting_a_proxy_approval_role.pdf
There are two ways to find effort records that are pending at your department:
You can access those in Enterprise Reporting. We also recommend using this report instead of screen shots of the effort records as it comes with the electronic signature of who certified and the date.