In Mail Archiver you want to archive usually either all mails or older mails. For the email client you usually need the newest emails first. So that you don't download GBs of older mails to your email client there is a setting in Gmail to prevent this. For Mail Archiver we need to change the value of the setting.
In Gmail click on the Settings icon. Select Settings from the menu.
Select "Forwarding and POP/IMAP".
Now change "Folder Size Limits" to "Do not limit":
Save your changes. Please remember that this will affect all mail clients that access your Gmail account.