First of all, just because you like the way your headphones sound doesn't mean they are more or less accurate than your speakers, but of course, it is all about the sound that you like. Most people are going to tell you that the answer lies in the interaction between your speakers and the room that they are playing in. The manufacturer of your headphones was able to balance the response because they knew the exact environment they would be played in.
I also think that it is interesting that you feel you can solve your problem with an amplifier. You should list your present system and room dimensions.
I also think that it is interesting that you feel you can solve your problem with an amplifier. You should list your present system and room dimensions.