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In this talk, we will explain the generalized graded cellular structure for an algebra, which generalizes the usual graded cellular algebra defined by Hu and Mathas. Then we use Kang-Kashiwara-Tsuchioka's isomorphism to construct some generalized graded cellular bases for the cyclotomic quiver Hecke-Clifford algebras of types A, C, and cyclotomic quiver Hecke-Clifford algebras of twisted type A with even level. This talk is based on joint work with Shuo Li.