Concepts
Integrated Tunnels adds 3 part types for the different transport types, namely Importers, Exporters and Interfaces.
Importers (blue) always try to pull from a target, to Interfaces (white) in the same network.
Exporters (orange) always try to push to a target, from Interfaces (white) in the same network. Items in this case will always transfer from left to right.
You could add multiple interfaces to your network, and assign priorities to specify which should be filled/emptied first.
If you want to specify what ingredients can go through an interface, you can use a filtering interface. This can be useful if you for example want to lock inventories to only contain certain items.
Furthermore, you can also add multiple Importers and Exporter, again with relative priorities.
Using Integrated Dynamics variables, you have to specify what items should be moved. If you want to keep it simple, and just move everything, simply use a blank Variable Card.
Note that if you have an autocrafting mod such as Integrated Crafting installed, then you will be able to use the Craft setting in exporters. This will make it so that if an ingredient is not available for export, that it should be crafted.