This work develops a numerical method for simulating two-fluid plasma flows, where ions and electrons are modeled separately to capture important physical effects that are missing in single-fluid models. The proposed approach is based on a compact active-flux framework that preserves key physical properties at the discrete level. In particular, the method guarantees positivity of density and pressure for both fluids and enforces discrete divergence-free constraints on the electromagnetic fields without relying on global correction procedures. By extending invariant-domain-preserving ideas and positivity-preserving techniques previously developed for ideal magnetohydrodynamics, the scheme remains robust. This provides a reliable and structure-preserving foundation for high-order simulations of two-fluid plasma systems.