Reports can be modified to filter on asset status. For now, you can open the report that you wish to modify, duplicate it (button in the top right corner), and add a filter on State Name where you can, for example, only include assets with an Active asset status.
![FilterState.png FilterState.png](/t5/image/serverpage/image-id/5098i445834B28002CF15/image-size/large?v=v2&px=999)