Hi Oleh,
The Crossover team has confirmed that the bug is still on their list, but there is a workaround. MLO 6 drag-and-drop works fine in the XP bottle in CrossOver. You can change the Windows OS in the bottle settings by following these steps: Open CrossOver -> MyLifeOrganized bottle -> Wine Configuration -> Applications tab -> Select Windows XP (see the attached screenshot).
This is a temporary solution until they have a fix for the other bottle environments. Additionally, they have updated the install recipe, so if you do a new install of MLO into an XP bottle, you should be able to utilize the drag-and-drop feature.