  The conventional approach of embedding an effective acoustic metric for sound
motion in a background flat Minkowski space-time, has recently been extended to
incorporate more general curved background metrics, which might contain a black
hole. Though the observational aspects of these kinds of acoustics horizons,
including the sonic shadow structure and quasi normal modes have received
significant attention in the literature, it leaves room for discussions about
embedding in more general classes of curved background space-times without
optical horizons. Here we propose and study a new class of acoustic metrics
that is embedded in a black-bounce space-time, thereby giving a suitable
tuneable system to understand possible observational effects of the presence or
absence of acoustic horizons. After showing that the metric can represent five
types of different effective backgrounds for sound motion, including a novel
"acoustic wormhole - optical wormhole" branch, we discuss how the distinctive
features of sonic shadows can appear even in the absence of any acoustic
horizon due to the wormhole throat present in the acoustic metric.
