  Laser driving in systems with competing or coupled electronic orders can lead
to the enhancement of orders, or even to the appearance of hidden phases
without an equilibrium analogue. Here we consider a model for A$_3$C$_{60}$
which exhibits a unique interplay between conventional and odd-frequency (or
composite) orders. In particular, we show that photo-doping of the
antiferromagnetic Mott insulating phase, as realized in Cs$_3$C$_{60}$, results
in a paramagnetic gapped state with broken orbital symmetry. This hidden phase,
which does not exist under equilibrium conditions, can be interpreted as an
odd-frequency orbital-ordered state, and is conceptually related to the
equilibrium Jahn-Teller metal in more weakly correlated compounds. Our study
demonstrates the appearance of pure odd-frequency order via the nonthermal
melting of magnetic order, and provides an interesting example of
nonequilibrium control of electronic orders in a multi-orbital system.
