I noticed that when I click on some object and use Transformation tool to change the position of this object, after click on some axis and mouse move, suddenly the object shows itself in different position and transformation axis (diffrent that I chose) are changed.

Bug?

potentially yes - we are still very much in Alpha

You can submit bugs through the issues interface in github and we encourage you to do so:

https://github.com/awaytools/AwayBuilder/issues

but i would request that you include the version number in your report as many things are being fixed as we go along atm. Also, precise steps for reproduction (just take a look at how some of the other bug submissions are structured) goes a long way to getting things resolved fast