You can simply bind to Design_Master_Category
that store collection of Design_Master_TileItems
, for example :
......
<ListBox Grid.Row="1" x:Name="lst"
ItemsSource="{Binding Design_Master_TileItems} >
......
If you find that the property is empty at run-time as stated in comment, it means the problem is not at your binding. You need to fix your query. I am by no means well-experienced with EF, but here is my suggestion :
try to use
.Include(o => o.Design_Master_TileItems)
function when queryingDesign_Master_Category
table. [Reference]