To configure which fields appear in the various Order Center views go to Settings -> Sales Activities -> Transaction Types
In the Views and Forms tab of the Transaction Type you wish to configure. There are multiple order center views (you won't see the Matrix related views listed if you have not loaded matrix items with color/size variants).
Lines view allows you to configure views for phone screens.
Additional Fields for Matrix View
You can configure this view to display properties of each variant inside the cells in the matrix view.
Add as many fields as you like to the layout. They will be displayed in a menu, and when selected in the matrix box (example above shows inventory).
For example if you need to display inventory, price, or field such as "no longer available" or a fabric type "leather" or any other field of the color/size variant you can add it to this configuration.
Flat Matrix Grid View: Configure the columns in the flat matrix view