In fact, installing jessie gives you the kernel that comes with aufs support. I assume you upgraded the version of a higher kernel using jessie-backports, which is not a standard jessie setting.
This has been tested with the current Debian jessie 8.7.1 amd64 and kernel 3.16.0.4.
# cat /etc/debian_version 8.7
So, to answer your question:
You can reinstall Debian Jessie or down-grade into the default kernel, and you have jessie with aufs support.
To install aufs on Debian 9, aka Debian, you just need to create apt-get install aufs-dkms . Unfortunately, this is not currently available for jessie-backports.
In our company, we run our docker hosts with jessie aufs setup, and everything works flawlessly.
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