Effective Butterfly optimizer(EBO) is a self-adaptive Butterfly Optimizer which incorporates the crossover operator in Perching and patrolling to increase the diversity of the popula- tion. This paper proposes a new Retreat phase called Covariance Matrix adapted Retreat Phase (CMAR), which uses the covari- ance matrix to generate a new solution. Local search capability of EBO is improved by using CMAR, called EBOwithCMAR. We evaluated the performance of EBOwithCMAR on CEC-2017 benchmark Problems and compared with the winners of a special session of CEC-2016 for bound-constrained problems and as well as EBO. The experimental results show that EBOwithCMAR is quite competitive with the compared algorithms.