Well, I'm Dutch, so I can fully understand what these cards do. It seems that this expansion introduces a new "Liaison" type. Whenever one of the Kingdom cards has that type, one of these beige landscapes will be added to the kingdom. These horizontals cooperate with the Favors you have. Sometimes, they provide an effect you can get by spending Favors, but that is not always the case. Looks very interesting.
EDIT: Spineflu beated be to it, but I can provide a cleaner layout.
Royal Galley ($4, Action - Duration)
+1 Card
You may play an non-Duration Action card from your hand. Set it aside; if you did, play it again at the start of your next turn.
Specialist ($5, Action)
You may play an Action or Treasure from your hand. Choose: play it again, or gain a copy of it.
Subordinate ($3, Action - Liaison)
+1 Card
+1 Action
+1 Favor
Woodworker ($4, Action)
If none of the Supply piles are empty, +1 Action and gain a card costing up to $4. Otherwise, trash a card from your hand and gain a card costing up to $2 more than it.
Contract ($5, Treasure - Duration - Liaison)
+$2
+1 Favor
You may set aside an Action card from your hand, to play it at the start of your next turn.
Art Museum ($5, Action)
+$3
This turn: if you gain a card costing $3 or $4 more, +1 Buy (This seems messed up)
Importer ($3, Action - Liaison)
At the start of your next turn, gain a card costing up to $5.
-
Setup: Each player gets +4 Favors
Marquis ($6, Action)
+1 Buy
+1 Card per card in your hand. Discard down to 10 cards in hand.
Barbarian ($5, Action - Attack)
+$2
Each other player trashes the top card of their deck, gains a cheaper card that shares a type with it if it costs $3 or higher, and gains a Curse otherwise.
Christmas Ball ($2, Treasure - Liaison)
Choose 2 different: +$1; +1 Buy; +1 Favor; This turn, when you gain a card, you may put it on top of your deck.
And the Landscapes are:
City State
When you gain an Action card during your turn, you may spend 2 Favors to play it.
Gang of Pickpockets
At the start of your turn, you may spend a Favor. If you don't, discard down to 4 cards.
Astrology order
When you shuffle, for every Favor you spend, pick one of the cards to go on top.
Costal Harbor
During clean-up, you may spend any number of Favors, to keep that amount of cards from your hand for your next turn. (you still draw 5 afterwards)
Banker's Association
At start of the Buy phase, +$1 per 4 Favors you have.