  In this paper, we study the role and relevance of the cost for an
invariant-based shortcut to adiabaticity enabled qubit heat engine operates in
a quantum Otto cycle. We consider a qubit heat engine with Landau-Zener
Hamiltonian and improve its performance using the Lewis-Riesenfeld
invariant-based shortcut to adiabaticity method. Addressing the importance of
cost for better performance, the paper explores its relationship with the work
and efficiency of the heat engine. We analyze the cost variation with the time
duration of non-adiabatic unitary processes involved in the heat engine cycle.
The cost required to attain the quasi-static performance of the qubit heat
engine is also discussed. We found the efficiency lost due to non-adiabaticity
of the engine can be revived using the shortcut method and it is even possible
to attain quasi-static performance under finite time with higher cost.
