This paper investigates a two-parameter extension of the Λ_s CDM model, allowing variations in the effective number of neutrino species ($N_{\text{eff}}$) and their total mass ($\sum m_{\nu}$), to address major cosmological tensions without deviating from the standard model of particle physics. The motivation is twofold: (i) to examine if the Λ_s CDM framework can retain its success in fitting data while addressing cosmological tensions, and (ii) to determine if the data indicate new physics that could potentially resolve these tensions. The extended model, referred to as Λ_sCDM+N_eff+∑ m_ν, shows no significant tension when considering Planck-alone analysis. However, incorporating BAO data limits the success of the Λ_s CDM extension. The weakly model-dependent BAO data, along with Planck and Planck+PP&SH0ES, favor an H_0 value of approximately 73 km s^-1 Mpc^-1, aligning with local measurements. The mirror AdS-dS transition in the late universe is effective in providing enhanced H_0 values, and the model requires no significant deviation from the standard value of $N_{\text{eff}} = 3.044$. Both the H_0 and S_8 tensions are effectively addressed, with some compromise in the Planck+BAO dataset. The upper bounds on $\sum m_{\nu}$ are fully compatible with neutrino oscillation experiments. The findings suggest that late-time physics beyond ΛCDM, such as Λ_sCDM, can suffice to alleviate major cosmological tensions without altering the standard description of the pre-recombination universe.This paper investigates a two-parameter extension of the Λ_s CDM model, allowing variations in the effective number of neutrino species ($N_{\text{eff}}$) and their total mass ($\sum m_{\nu}$), to address major cosmological tensions without deviating from the standard model of particle physics. The motivation is twofold: (i) to examine if the Λ_s CDM framework can retain its success in fitting data while addressing cosmological tensions, and (ii) to determine if the data indicate new physics that could potentially resolve these tensions. The extended model, referred to as Λ_sCDM+N_eff+∑ m_ν, shows no significant tension when considering Planck-alone analysis. However, incorporating BAO data limits the success of the Λ_s CDM extension. The weakly model-dependent BAO data, along with Planck and Planck+PP&SH0ES, favor an H_0 value of approximately 73 km s^-1 Mpc^-1, aligning with local measurements. The mirror AdS-dS transition in the late universe is effective in providing enhanced H_0 values, and the model requires no significant deviation from the standard value of $N_{\text{eff}} = 3.044$. Both the H_0 and S_8 tensions are effectively addressed, with some compromise in the Planck+BAO dataset. The upper bounds on $\sum m_{\nu}$ are fully compatible with neutrino oscillation experiments. The findings suggest that late-time physics beyond ΛCDM, such as Λ_sCDM, can suffice to alleviate major cosmological tensions without altering the standard description of the pre-recombination universe.