That's no rabbit, pueo, but a "Wolperdinger":
"
The flora [in Bavaria]
is typical for the Alpine forelands, though the development of the fauna has produced an animal unique to these parts, namely the "Wolperdinger". By the way, hunting these animals has become a sport, though the art of things is to catch one alive, which is due to the Wolperdinger's characteristics and way of life described below.
Wolperdingers are predominately found in eastern and southern Bavaria, but also in Austria and Liechtenstein. Some individual and extremely adapted specimens are found around the world, i.e. the Australian Marsupial Wolperdinger (wolpus saccus simplex), or the Russian Porcupine Wolperdinger (wolpus spiculum ex oriente), just to mention two. Viewed from an overall perspective, the Wolperdinger's adaptability is quite surprising. Species have been sighted that are capable of running, or jumping, or flying, or even swimming, and some of them come with or without horns and hoofs, some races have manifested all of these characteristics at once.
Since Wolperdingers are quite shy and only venture from their caves at night, if at all, these animals are commonly hunted at midnight when the moon is full. Moonlight is sufficient for humans to visually recognise their victims, but Wolperdingers are blinded by light on their search for food. Hunting outfits usually encompass a box drop trap and a root wood club. Even smaller specimens are extremely valiant and defend themselves and their burrows till death. Severe snap and scratch wounds arising from battles between man and animal are not seldom. I myself lost the finger tip of my left index finger in a scrimmage with a specimen about as large as a rabbit, but the Wolperdinger got away. Inexperienced non-Bavarians are thus urgently advised to refrain from unauthorised hunting. Slain specimens are sometimes displayed in taverns, they are even found in the "Jagdmuseum" (hunting museum) in Munich. "
source:
Student's guide to Munich and Bavaria
Here's one, quite similar to yours, a hunting trophy in a private home:
This 'Wolperdinger' is a little bit different and reminds me of something
