Thank you for your post into the forum.
Are looking to see the activity history for just the Log backups or you have generated a report but it does not contain any log backup information?
The SQL Backup reporting tool does not seperate reports for the different backup types.
The reporting tool generates the following report types:
All backup history
Backups with warnings
What ever type of report you generate, it should contain log backup information if a log backup was performed by SQL Backup on the server selected to report upon in the time period specified.