To make it work you'll need Router upgrades (at least Machine Filter, Item Filter and Ejector)
This is where you set your Machine Filter. You can select any machine connected to router. It will allow router to only pull items or insert into selected blocks. Here you see diamond chest selected.
Item Filter lets you select items you want Router to pull. It will ignore enything that is not on the list, as long there is at least one item on that list.
Here you select where the Router will send items after pulling them from inventory. If you won't use this upgrade you'll need to extract items from it using RP2 or BC.
This is standard Router GUI, only one avaliable without upgrades. Here you select if router should pull from inventory of put items into it.