[en] I present estimates of CP-violating asymmetries in the non-leptonic charmonium two-body B⁰ → ψ(2S)π⁰ decay and the same decays of B⁺ → ψ(2S)π⁺, B⁰ → ψ(2S)K⁰ and B⁺ → ψ(2S)K⁺. These estimates are based on QCD and improved QCD factorization approach making use of next to-leading order (NLO) contributions. The CP-violating asymmetry for B⁰ → ψ(2S)π⁰ decay is not available. According to the same calculations, it is expected if it can be measured in the future its value will be S_ψ(2S)π⁰(B⁰→ψ(2S)π⁰) = 0.662 ± 0.197 and C_ψ(2S)π⁰(B⁰→ψ(2S)π⁰) = 0.024±0.007.