  We present a new effective-one-body (EOB) waveform for eccentric,
nonspinning, binaries in the extreme mass ratio limit, with initial
eccentricities up to $0.95$. The EOB analytical waveform, that includes
noncircular corrections up to second post-Newtonian order, is completed by a
phenomenological ringdown model that is informed by Regge-Wheeler-Zerilli (RWZ)
type waveforms generated by a point-particle source. This model notably
includes the beating between positive and negative frequency quasi-normal-modes
(QNMs). We analyze various prescriptions to faithfully complete the analytical
EOB waveform in the transition from plunge to merger. In particular, we
systematically explore the effect of: (i) the generic Newtonian prefactor; (ii)
next-to-quasi-circular (NQC) corrections to amplitude and phase; (iii) the
point were NQC corrections are determined; (iv) the ringdown attachment point.
This yields EOB/RWZ quadrupolar phase differences through merger and ringdown
$\lesssim 0.01$~rad for the quasi-circular case and $\lesssim 0.05$~rad for the
eccentric case. Higher modes are also modeled up to the $\ell=m=5$ multipole.
We finally discuss the excitation of the QNMs and present a heuristic model to
motivate it in correlation with the presence of a point-particle source.
