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We introduce two classes of novel color superalgebras of $ \mathbb{Z}_2\times \mathbb{Z}_2 $ grading. This is done by realizing members of each in theuniversal enveloping algebra of the ${\cal N}=1$ supersymmetric extension ofthe conformal Galilei algebra. This allows us to upgrade any representation ofthe super conformal Galilei algebras to a representation of the $ \mathbb{Z}_2\times \mathbb{Z}_2 $ graded algebra. As an example, boson-fermion Fock spacerepresentation of one class is given. We also provide a vector fieldrealization of members of the other class by using a generalization of theGrassmann calculus to $ \mathbb{Z}_2 \times \mathbb{Z}_2 $ graded setting.

$ \mathbb{Z}_2 \times \mathbb{Z}_2 $ generalizations of ${\cal N} = 1$ superconformal Galilei algebras and their representations