  Some discrepancies between experimental results on quantum droplets made of a
mixture of $^{39}$K atoms in different hyperfine states and their analysis
within extended Gross-Pitaevskii theory (which incorporates beyond mean-field
corrections) have been recently solved by introducing finite-range effects into
the theory. Here, we study the influence of these effects on the monopole and
quadrupole excitation spectrum of extremely dilute quantum droplets using a
density functional built from first-principles quantum Monte Carlo
calculations, which can be easily introduced in the existing Gross-Pitaevskii
numerical solvers. Our results show differences of up to $20\%$ with those
obtained within the extended Gross-Pitaevskii theory, likely providing another
way to observe finite-range effects in mixed quantum droplets by measuring
their lowest excitation frequencies.
