Unlike Light Imagay, I don't see Asura actually do anything to the police for investigating that.
I can't tell what he is going to do as a response, given that it will likely depend on the way the police interview him, but Asura holds himself to be a good person and doesn't see what he did as wrong at all. It could go him calmly admitting to doing it or the cops asking the wrong questions and get offtrack, but deliberate manipulation and mindgames from Asura aren't going to be a thing, he is completely honest after all.