Several features in Moodle provide improved ease of use for grading assignments.
Offline grading worksheet
If set to yes in the assignment settings, the teacher will have a link to download the grading list as a spreadsheet. They will then be able to enter grades and feedback comments offline.
Downloading Student Submissions
Uploading multiple feedback files
It is now possible to upload multiple feedback files as a zip, from the dropdown above the grading list. This is especially convenient if you have downloaded assignments for offline grading, as above.