You created a Role to approve Homework but the Role admin(s) are not able go see the Homework from the Homework Pill even though the Role permissions are set to manage homework.
When a Homework is created and a Role is selected admins in the Role will be able to Create, Delete and Edit Homework. See Roles: An Overview article.
Other Roles that were added after the initial setup and have "Manage Homework" enabled are able to approve Homework but they will need to access the Homework from the Module.
Once the admin accesses the Module he/she will need to click on the Homework and click on Expand then click on the drop down menu on each Response to approve the Homework.