  Range separated hybrid density functionals are very successful in describing
a wide range of molecular and solid state properties accurately. Range
separated hybrid functionals are designed from spherically averaged or system
averaged reversed engineered exchange hole. In the present attempt, we employ
screened range separated hybrid functional scheme to the meta-GGA rung by using
Tao-Mo semilocal exchange hole (or functional). The hybrid functional proposed
here utilizes the spherically averaged density matrix expansion based exchange
hole in range separation scheme. For slowly varying density correction, we
employ range separation scheme only through the local density approximation
(LDA) based exchange hole coupled with the slowly varying Tao-Mo enhancement
factor through the conventional wisdom technique. Comprehensive performance and
testing of the present functional shows, it accurately describes several
molecular properties. The most appealing feature of this present screened
hybrid functional is that it will be practically very useful in describing
solid state properties in meta-GGA level.
