I will consider OPE family of the central charge modifications of the Gaussian free field with excursion reflected/Dirichlet boundary conditions in a doubly connected domain and show that the correlations of fields in this OPE family under the insertion of one-leg operator with force points are martingale-observables for variants of annulus SLEs. By means of screening, I present Euler integral type solutions to the parabolic partial differential equations for the annulus SLE partition functions introduced by Lawler and Zhan to construct the class of martingale-observables associated with these solutions. Joint work with Sung-Soo Byun and Hee-Joon Tak.