Sounds like your new box is a mini box, the mini box has no hard drive it relies on the main box to record, in order to do that the main box needs to be set to fast start or active start and both boxes connected to your hub either by ethernet cable or wifi, you will then be also be able to stream recordings from the main box to the mini box.
On your main box go to Settings > System > Standby power consumption. You have 3 choices.
Fast start - the 360 starts quickly but is less energy efficient
Active start - more energy efficient than fast start but the box takes a little longer to start up
Eco start - the most energy efficient it uses minimal power but takes a while to start.