Paint the walls behind the sofas with a split-pea green. This green is subtle enough not to overwhelm the room with color but complements the richness of the burgundy and gives the room an earthy feel.
Add maple-colored furniture to the room. Use end and coffee tables and add an entertainment center or storage unit if the room requires it. The maple color adds to the warmth and richness of the room but doesn't make the room too dark.
Accent the room with khaki or dark green throw rugs, pillows, lamps and wall decor. These rich colors complement the palette of the room.
Use cream or ivory trim around the walls, windows and door frames. This helps lighten the room and breaks up the darkness. You can opt to use dark trim, such as black, for a look that is edgy but quite striking. Dark trim works better in big rooms with plenty of light.