The underwater acoustic channel has a limited bandwidth; it is thus necessary to optimize the spectrum efficiency with for instance the choice of a Faster-Than-Nyquist technique. However, this necessarily leads to Inter-Symbol Interference that needs to be tackled in order to achieve a good system performance ; this becomes especially critical for the underwater acoustic channel and we thus propose an original hybrid turbo equalization method for systems using Faster-Than-Nyquist signaling. Differently from the traditional Hybrid Time-Frequency Domain Equalizer (HTFDE), with the proposed method, each Frequency Domain Equalizer (FDE) is followed by a phase error estimator and an adaptive Time Domain Equalizer (TDE). Our simulations, including real underwater channels, show that our proposal improves the system performance compared to conventional methods.