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We present the discovery and characterization of two sub-Neptunes in closeorbits, as well as a tentative outer planet of a similar size, orbitingTOI-1260 - a low metallicity K6V dwarf star. Photometry from TESS yields radiiof $R_{\rm b} = 2.33 \pm 0.10$ $R_{\oplus}$ and $R_{\rm c} = 2.82 \pm 0.15$$R_{\oplus}$, and periods of 3.13 and 7.49 days for TOI-1260b and TOI-1260c,respectively. We combined the TESS data with a series of ground-based follow-upobservations to characterize the planetary system. From HARPS-N high-precisionradial velocities we obtain $M_{\rm b} = 8.61_{ - 1.46 } ^ { + 1.36 }$$M_{\oplus}$ and $M_{\rm c} = 11.84_{ - 3.23 } ^ { + 3.38 }$ $M_{\oplus}$. Thestar is moderately active with a complex activity pattern, which necessitatedthe use of Gaussian process regression for both the light curve detrending andthe radial velocity modelling, in the latter case guided by suitable activityindicators. We successfully disentangle the stellar-induced signal from theplanetary signals, underlining the importance and usefulness of the GaussianProcess approach. We test the system's stability against atmosphericphotoevaporation and find that the TOI-1260 planets are classic examples of thestructure and composition ambiguity typical for the $2-3$ $R_{\oplus}$ range.

Hot planets around cool stars -- two short-period mini-Neptunes transiting the late K-dwarf TOI-1260