Date filter not working

First of all you need to understand that you are using 2 column in a boolean operation.

'F - Inventory'[Created Date Time] in 'F - Inventory'[Created Date Time]<='D - Date'[Date] expands to  

FILTER ( ALL ( 'F - Inventory'[Created Date Time] ), SomeCondition )

Now you are trying to get dates that are in another table, that's not allowed because FILTER & ALL contruct only has one column.  and the same is true for:

'F - Inventory'[Inventory date]="1900-01-01" || 'F - Inventory'[Inventory date]>='D - Date'[Date],

 Are you trying to calculate a rolling total? if yes, you could use:

NEW In Acq Vib Spe =
VAR LastAvailableDate = MAX ( 'D - Date'[Date] )
VAR Result =
    CALCULATE (
        SUMX ( 'F - Inventory', 'F - Inventory'[Quantity] * 'F - Inventory'[Unit Cost] ),
        'F - Inventory'[Transaction type] = "Ordine fornitore",
        'D - Warehouse'[Warehouse ID] = "B0",
        'D - Item'[Type] = "Item",
        'D - Item'[SpecialUnificato] = "Speciale",
        'F - Inventory'[Inventory date] = "1900-01-01"
            || 'F - Inventory'[Inventory date] >= LastAvailableDate,
        'F - Inventory'[Status ID]
            IN { "StatusReceipt-3", "StatusReceipt-4", "StatusReceipt-5" },
        FILTER ( ALL ( 'D - Date'[Date] ), 'D - Date'[Date] <= LastAvailableDate )
    )
RETURN
    Result