  We study the reflected entropy in $(1+1)$--dimensional Lifshitz field theory
whose groundstate is described by a quantum mechanical model. Starting from
tripartite Lifshitz groundstates, both critical and gapped, we derive explicit
formulas for the R\'enyi reflected entropies reduced to two adjacent or
disjoint intervals, directly in the continuum. We show that the reflected
entropy in Lifshitz theory does not satisfy monotonicity, in contrast to what
is observed for free relativistic fields. We analytically compute the full
reflected entanglement spectrum for two disjoint intervals, finding a discrete
set of eigenvalues which is that of a thermal density matrix. Furthermore, we
investigate the Markov gap, defined as the difference between reflected entropy
and mutual information, and find it to be universal and nonvanishing, signaling
irreducible tripartite entanglement in Lifshitz groundstates. We also obtain
analytical results for the reflected entropies and the Markov gap in $2 + 1$
dimensions. Finally, as a byproduct of our results on reflected entropy, we
provide exact formulas for two other entanglement-related quantities, namely
the computable cross-norm negativity and the operator entanglement entropy.
