  We present resummed predictions at next-to-leading logarithmic accuracy
matched to the exact next-to-leading order results for a set of classical
event-shape observables in hadronic Higgs decays, i.e., for the channels $H\to
gg$ and $H\to b\bar{b}$. We furthermore consider soft-drop grooming of the
hadronic final states and derive corresponding $\text{NLO}+\text{NLL}^\prime$
predictions for the groomed thrust observable. Differences in the QCD radiation
pattern of gluon- and quark-initiated final states are imprinted in the
event-shape distributions, offering separation power for the two decay
channels. In particular, we show that ungroomed event shapes in $H\to gg$
decays develop a considerably harder spectrum than in $H\to b\bar b$ decays. We
highlight that soft-drop grooming can substantially alter this behaviour,
unless rather inclusive grooming parameters are chosen.
