Strong Morita equivalence for inclusions of $C^*$-algebras induced by twisted actions of a countable discrete group

We consider two twisted actions of a countable discrete group on $\sigma$-unital $C^*$-algebras. Then by taking the reduced crossed products, we get inclusions suppose that they are strongly Morita equivalent as Also, one $C^*$-algebras is irreducible, is, relative commutant $C^*$-algebra in multiplier product trivial. show then up to some automorphism group.