Ich habe zufällig ein fertiges Tool dafür gefunden: TM Error Logger

Falls Du Dir noch nichts selber gebastelt hast

Die Version von 10.5 bis 10.11 ist Donationware, die Version ab 10.12 kostet 5$

http://carnationsoftware.com/TM_Error_Log_WebPage.html

Do you get those Time Machine Error alert messages and wonder why? Would you like to find out exactly what caused the error so you can do something about it (or just ignore it)?

Leave TM Error Logger running 24/7 and it can send an email to you when Time Machine gets an error.

Email Notification works with Microsoft Outlook as well as Apple's Mail app.