Downloads transferring from one Xbox to the other

This is because the second console - the one where the downloads are happening automatically - is set as the purchasing account's Home Xbox.

On the second console, go into Settings>Power & Startup>Power Mode & Startup and deselect "Automatically download updates and purchases".

This should stop this behaviour from occurring in future.

The data transfer cable is used to transfer the entire content of a harddrive from one HDD to another for the Xbox360

DLC, games and savefiles will just be available for download but will not be transferable through the transfercable. Savegames need to be saved to the cloud on the Xbox 360 before they are made available on the Xbox One the other content will just be available
as a marketplace download or from the ready to install list

Hello Money! Unfortunately it is not possible to transfer content between profiles. When it comes to downloadable content such as a game as Minecraft or an add on for a game, there are licenses. When you download something, 2 licenses are downloaded. One
license is automatically synced to the gamertag that downloaded it, the other license is synced with the console that it was downloaded to. This is why you have to do a license transfer when switching from an older XBOX to a recently bought one. The licenses
are forever tied to your profile, prohibiting you from transferring it to someone else's profile.

You need to do two things to recover your data:

1. Perform a license transfer from one console to another, to transfer rights to any downloadable content from one console to your new one: http://support.xbox.com/en-US/xbox-live/marketplace-and-purchasing/download-content
   
   
2. Remove the Hard Drive from your old console (http://support.xbox.com/xbox-360/settings-and-initial-setup/add-remove-hard-drive),
   
   purchase a Hard Drive transfer cable, and transfer the data from one Hard Drive to the other.
   

Sorry I wanted to transfer the game download to the internal drive, not run it from the drive I would transfer it with, e.g. download the 50gb games download to ext, then copy it to the other xbox internal drive.