If you want to have a report of your partners and their trips they are on, then go to the trips page > display columns all the way to the right > select institutions > press save
Then select the 'All' button at the top of your screen
Then go below and scroll all the way to the right of all the columns and the last column is 'Institutions'. Type the name of the institution you want to see or just export all your partners.
Go all the way to the left and check mark the box for 'all' or select the boxes you want to check mark
Then go to the top and click the little box with the 'up' arrow to export this page.
If you feel that this chart has too many columns, choose the columns you want to display in your chart from the 'display columns' drop down.