The Modern (assuming you mean the Dining Room and not the Bar Room) doesn't do a la carte - it's prix fixe, which gets you 3 courses for $85, or one of the tasting menus. I went back in April for my birthday and had the prix fixe. The prix fixe serving sizes were quite generous and I definitely left stuffed (also, there were two amuse bouche). From the prix fixe, I would highly recommend the squab and foie gras croustillant. It was fantastic. Also had the duck breast, which was not served with the skin, my favorite part, and was slightly over-salted. As for dessert, the chocolate and hazlenut dacquoise was yummy. From the apps, the escargot gateau was quite good.
Can't help with the tasting menu, since I've never had it.