We generalize a one-dimensional random sequential adsorption model (RSA) of charged unit segments in which the deposition position follows a beta kernel determined by the charges bounding the available gap and those of the incoming particle. The interaction parameter (0<1) interpolates between uniform car parking and strongly localized deposition. We derive a four component generating function equation that provides exact recursions for the complete occupation statistics, although only the mean and variance are analyzed in detail here. Exact finite-shell solutions serve as benchmarks for the Gauss-Jacobi quadrature and Monte Carlo simulations. Under the assumed extensive scaling with bounded remainders and strictly positive particle-type probabilities, we prove that, although boundary charges affect finite size behavior, the four boundary states have the same asymptotic mean and variance densities; consequently, we prove that the jammed density is self-averaging. Numerical results show that charge selectivity increases the coverage, especially for mixtures dominated by opposite endpoint charges, which also exhibit strongly reduced fluctuations near (). The model provides a tractable connection between uniform RSA, dynamically generated disorder, and interaction-driven deposition.