The paper explores the possibility of realizing non-Abelian fractionalization in topological minibands within moiré systems, motivated by recent discoveries of fractional quantum anomalous Hall (FQAH) states in twisted bilayer semiconductors. The authors study skyrmion Chern band (SCB) models, which can be realized in two-dimensional semiconductor/magnetic skyrmion heterostructures and capture the essence of twisted transition metal dichalcogenide (TMD) homobilayers. Using many-body exact diagonalization, they show that the non-Abelian Moore-Read state can be realized at half filling of the second miniband, despite strong Berry curvature variations in momentum space. This demonstrates the feasibility of non-Abelian fractionalization in moiré systems without Landau levels and highlights the prospect of realizing the Moore-Read state in twisted semiconductor bilayers. The study provides a realistic material proposal for achieving non-Abelian phases in topological minibands and discusses the conditions necessary for their realization.The paper explores the possibility of realizing non-Abelian fractionalization in topological minibands within moiré systems, motivated by recent discoveries of fractional quantum anomalous Hall (FQAH) states in twisted bilayer semiconductors. The authors study skyrmion Chern band (SCB) models, which can be realized in two-dimensional semiconductor/magnetic skyrmion heterostructures and capture the essence of twisted transition metal dichalcogenide (TMD) homobilayers. Using many-body exact diagonalization, they show that the non-Abelian Moore-Read state can be realized at half filling of the second miniband, despite strong Berry curvature variations in momentum space. This demonstrates the feasibility of non-Abelian fractionalization in moiré systems without Landau levels and highlights the prospect of realizing the Moore-Read state in twisted semiconductor bilayers. The study provides a realistic material proposal for achieving non-Abelian phases in topological minibands and discusses the conditions necessary for their realization.