I cannot tell you I know of the headphones that are in your current inventory, but the asgard 2 is a high quality, well built, and good looking amp with transistor versatility and should be compatible with almost any headphones out there. Some of the reviews here are tainted because of teething problems months ago when iffy components were sent by suppliers to the manufacturer. This has been fixed. If this had not happened it would probably show a 100% like factor.
If you don't like the sound with a particular headphone while using this amp, then it is probably the headphone that you don't like.