  Schr\"{o}dinger cat states, consisting of superpositions of macroscopically
distinct states, provide key resources for a large number of emerging quantum
technologies in quantum information processing. Here we propose how to generate
and manipulate mechanical and optical Schr\"{o}dinger cat states with
distinguishable superposition components by exploiting the unique properties of
cavity optomechanical systems based on Bose-Einstein condensate. Specifically,
we show that in comparison with its solid-state counterparts, almost a $3$
order of magnitude enhancement in the size of the mechanical Schr\"{o}dinger
cat state could be achieved, characterizing a much smaller overlap between its
two superposed coherent-state components. By exploiting this generated cat
state, we further show how to engineer the quadrature squeezing of the
mechanical mode. Besides, we also provide an efficient method to create
multicomponent optical Schr\"{o}dinger cat states in our proposed scheme. Our
work opens up a new way to achieve nonclassical states of massive objects,
facilitating the development of fault-tolerant quantum processors and sensors.
