Run Leawo iOS Data Recovery for Mac after installing it on your MacBook and then click "Recover from iTunes Backup" entry.
The backups in your iTunes will be shown in the window. Select a backup and click "Scan" at the right bottom, and then the software will scan the backup and show the files in the left sidebar.
Check a category and then the files in that category will be shown in the right part of the window. The user is able to recover all the files in the backup by checking the square beside the name of the backup, or recover all the files in a category by checking the square beside that category, or recover certain files in the category by checking the files when they show up in the window of the software.
Check Only display the deleted items option to have the program show the deleted data only. After choosing files to recover, click "Recover" at the right bottom of the window.
Then a dialog will pop up, and the user is able to choose the target folder to save the exported files by clicking "Open" beside the "Save to" option. Check "Automatically open the output folder after finishing recover" to make sure the target folder pop up when the recovery is done. Click "Go" at the right bottom of the dialog to start the recovery.
When the recovery is finished, the target folder will pop up. Then the user is able to manage the recovered files with ease.