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In this work we study the doubly charmed baryon decays $\Xi_{cc}^{++}\to\Xi_c^{(\prime)+}\pi^+$ within framework of non-relativistic quark model (NRQM). Factorizable amplitudes are expressed in terms transition form factors, while nonfactorizable arising inner $W$-emission evaluated using current algebra and pole baryonic matrix elements axial-vector factors. Nonperturbative parameters then calculated NRQM. They can be momentum integrals wave functions, which turn harmonic oscillator $\alpha_\rho$ $\alpha_\lambda$ for $\rho$- $\lambda$-mode excitation. The measured ratio $R$ branching fraction $\Xi_{cc}^{++}\to \Xi^{\prime +}_c\pi^+$ relative to \Xi_c^+\pi^+$ accommodated NRQM with $\alpha_{\rho 1}$ $\alpha_{\rho_2}$ being vicinity 0.51 0.19, respectively, where is parameter $\Xi_{cc}^{++}$ 2}$ $\Xi_{c}^{(\prime)+}$. Decay asymmetries predicted $-0.78$ $-0.89$ $\Xi_c^+\pi^+$ $\Xi_c^{\prime +}\pi^+$ modes, tested near future. We compare our results other works point out that although some models accommodate $R$, they tend lead a too large compared inferred from LHCb measurement its rate $\Xi_{cc}^{++}\to\Lambda_c^+ K^- \pi^+\pi^+$.