If you need to add brand added deliverables to a campaign, it will automatically show them under the report under your name, since you are the one adding them.
If you prefer that the report shows these deliverables under an influencer's name, you can reassign the deliverables:
Click on your name under the assignment
Click on the three dots on the upper right
Select "reassign user"
Change the Influencer Display Name
When you reload the report, you will see that this brand deliverable will now be listed under the influencer's name, in a separate section.