This paper investigates entangled multiplets, asymmetry, and the quantum Mpemba effect in dissipative systems. The authors propose a quasiparticle picture for the charged moments of the reduced density matrix, which are essential for constructing the entanglement asymmetry. This framework is applied to quantum quenches from the ground state of the XY chain and the tilted Néel state in the XX chain. The results are benchmarked using an elementary approach based on the multidimensional stationary phase approximation, and the same results are obtained within the quasiparticle picture. The analysis reveals a general criterion ensuring vanishing entanglement asymmetry at long times. The study also examines the effect of gain and loss dissipation on the entanglement asymmetry, showing that dissipation can induce the quantum Mpemba effect even when unitary dynamics do not. The quantum Mpemba effect, a phenomenon where systems with more broken symmetry restore symmetry faster, is shown to persist in the presence of dissipation. The paper provides a quasiparticle-based interpretation of the conditions for the quantum Mpemba effect. The results are derived using the Lindblad master equation, which describes the dynamics of the density matrix in the presence of dissipation. The analysis shows that the quantum Mpemba effect can occur in Markovian dynamics, and the conditions for its onset are compared with the case without dissipation. The paper concludes that the symmetry is always restored at long times in quenches governed by the XX Hamiltonian, except in the case of the tilted Néel state, where the non-Abelian conservation laws prevent full symmetry restoration. The study provides a comprehensive understanding of the dynamics of entanglement asymmetry and the quantum Mpemba effect in dissipative systems.This paper investigates entangled multiplets, asymmetry, and the quantum Mpemba effect in dissipative systems. The authors propose a quasiparticle picture for the charged moments of the reduced density matrix, which are essential for constructing the entanglement asymmetry. This framework is applied to quantum quenches from the ground state of the XY chain and the tilted Néel state in the XX chain. The results are benchmarked using an elementary approach based on the multidimensional stationary phase approximation, and the same results are obtained within the quasiparticle picture. The analysis reveals a general criterion ensuring vanishing entanglement asymmetry at long times. The study also examines the effect of gain and loss dissipation on the entanglement asymmetry, showing that dissipation can induce the quantum Mpemba effect even when unitary dynamics do not. The quantum Mpemba effect, a phenomenon where systems with more broken symmetry restore symmetry faster, is shown to persist in the presence of dissipation. The paper provides a quasiparticle-based interpretation of the conditions for the quantum Mpemba effect. The results are derived using the Lindblad master equation, which describes the dynamics of the density matrix in the presence of dissipation. The analysis shows that the quantum Mpemba effect can occur in Markovian dynamics, and the conditions for its onset are compared with the case without dissipation. The paper concludes that the symmetry is always restored at long times in quenches governed by the XX Hamiltonian, except in the case of the tilted Néel state, where the non-Abelian conservation laws prevent full symmetry restoration. The study provides a comprehensive understanding of the dynamics of entanglement asymmetry and the quantum Mpemba effect in dissipative systems.