You cannot power your home with the Base battery and a generator through the main panel at the same time. The interlock ensures only one power source is active.
If your main panel has an interlock kit, you can safely switch between your Base battery and a plug-in portable generator during an outage. Once the Base battery is depleted, use the interlock to switch to your generator for continued power.
If you have the newer version of the Base battery follow these instructions for how to plug in a portable generator straight into the battery.