SAT solvers have become efficient for solving NP-complete problems (and beyond). Usually those problems are solved by direct translation to SAT or by solving iteratively SAT problems in a procedure like CEGAR. Recently, a new recur-sive CEGAR loop working with two abstraction levels, called RECAR, was proposed and instantiated for modal logic K. We aim to complete this work for modal logics based on axioms (B), (D), (T), (4) and (5). Experimental results show that the approach is competitive against state-of-the-art solvers for modal logics K, KT and S4.