Set splitter background and size
SplitterBackground is the property used to apply background to splitter between docked Children.
<syncfusion:DockingManager Name="DockingManager" SplitterBackground="Black">
<Grid Name="grid1" syncfusion:DockingManager.Header="Window1"/>
<Grid Name="grid2" syncfusion:DockingManager.Header="Window2"/>
</syncfusion:DockingManager>
DockingManager.SplitterBackground = Brushes.Black;