  We discuss a general interaction quench in a Luttinger liquid described by a
paired bosonic Hamiltonian. By employing $\mathsf{su}(1,1)$ Lie algebra, the
post-quench time-evolved wavefunctions are obtained analytically, from which
the time evolution of the entanglement in momentum space can be investigated.
We note that depending on the choice of Bogoliubov quasiparticles, the
expressions of wavefunctions, which describe time-evolved paired states, can
take different forms. The correspondence between the largest entanglement
eigenvalue in momentum space and the wavefunction overlap in quench dynamics is
discussed, which generalizes the results of D\'ora {\em et al} [2016, {\em
Phys. Rev. Lett.} \textbf{117}, 010603]. A numerical demonstration on an XXZ
lattice model is presented via the exact diagonalization method.
