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We give necessary and sufficient conditions for the boundedness of themaximal commutators $M_{b}$, the commutators of the maximal operator $[b, M]$and the commutators of the sharp maximal operator $[b, M^{\sharp}]$ in Orliczspaces $L^{\Phi}(\mathbb{G})$ on any stratified Lie group $\mathbb{G}$ when $b$belongs to Lipschitz spaces $\dot{\Lambda}_{\beta}(\mathbb{G})$. We obtain somenew characterizations for certain subclasses of Lipschitz spaces$\dot{\Lambda}_{\beta}(\mathbb{G})$.

Characterizations of Lipschitz functions via the commutators of maximal function in Orlicz spaces on stratified Lie groups