  We present the predictions with standard sirens at Gravitational Waves
detectors, such as the Laser Interferometer Space Antenna (LISA) and the
Einstein Telescope (ET), for interacting dark energy theories. We focus on four
models characterised by couplings between the dark energy field and the dark
matter fluid arising from conformal or disformal transformations of the metric,
along with an exponential self-interacting potential. To this purpose we
construct mock catalogues and perform a Markov Chain Monte Carlo analysis by
considering ET and LISA standard sirens, and also their combination with Baryon
Acoustic Oscillations (BAO) and Supernovae Ia (SNIa) data. We find that in all
the four models considered, the accuracy on the $H_0$ parameter increases by
one order of magnitude at 1$\sigma$ when compared to the SNIa+BAO data set,
possibly shedding light in the future on the origin of the $H_0$-tension. The
combination of standard sirens with SNIa+BAO allows to improve the accuracy on
some coupling and exponential parameters, hinting at future prospects for
constraining interactions in the dark sector.
