This image carries certain energy due to structure and geometry of the drawing. Please use the whole image and full structure should be visible. 2nd outer circle is not necessary and can be removed or kept as is. If mandala is placed over the owl then it's ok. But if Owl is placed over mandala and full mandala is not visible then it will lose the energy part that it carries.
This logo will be displayed on the cosmetic product packaging. Sometimes background will be yellow, orange or white. Based on that actual logo color can probably change as well.