You don't move toolbars onto the Command Manager. They're two separate entities. Right-click on an open part of your screen at the top, such as inside your red circled area beneath the toolbar, and choose "Customize". That will show all hidden tabs in a lighter color text. Right-click on the Weldments tab and choose ''Show Tab".
For the standard toolbar, if you don't want it to show then either drag it into the graphics area and click on the X, or de-select it from the list when you right-click on the gray area as I described above.