You get three boosted types of goods when you start the game. You won't be able to produce these goods until you research them in the tech tree. Your first type of boosted good is either planks or marble or steel. Your second type is either scrolls or crystal or silk. Your third type is either gems or magic dust or elixir.
Your relics are things you get from winning fights in the world map. You can also get them from negotiating. When you go to the world map, you will notice little symbols on each of the hexes. What that quest is asking you to do it to fight and win, or negotiate 2 of the fights from the provinces that match your boosted goods.
Does that make sense?