You might have noticed that there's a predefined history limit of 60 days for backlinks (new and lost backlinks). 

This is just a shortcut that allows you to easily navigate through the dates:

If you want to explore the links beyond 60 days, simply select a date on the calendar by clicking on it and use the arrow pointed to the left to go back in history:

Once you've found the needed starting date, click on it. If everything's done properly, you will see your dates highlighted:

Finally, hit the orange button titled Show new backlinks to see the results (or Show lost backlinks if you are checking lost backlinks tab):