Something i found: But i wonder how this theory relates to "counter steering"
Interesting question. In theory, turns on a cycle should be equally strenuous. However, you are most-likely right handed. This means that your right arm is probably a bit stronger than your left arm, so pushing the handlebar forward with your right arm might be a bit easier than with your left. On multi-lane roads, left turns are not as sharp as right turns are, so on a motorcycle, this effect is augmented by the fact that sharper turns require more force on the handlebars to execute. it's "easier" is because most people are right-handed (including you, probably). Most right-handed people feel more comfortable extending their right hands. They like to put their right foot forward, because most are right-footed as well.
When you lean left to make a turn, the opposing force that keeps you upright pushes to the right. You maintain your balance by pushing down on the bicycle harder or softer... with your right foot. Since your right foot is more responsive, and more practiced... it "feels" easier to turn that way. When you turn right, your left side is controlling things, and your left side is a little slower, a little stiffer, and it just doesn't "feel" as comfortable. You waste energy fighting the uncertainty in your non-dominant side.
