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We present 20 years of radial velocity (RV) measurements of the M1 dwarfGl15A, combining 5 years of intensive RV monitoring with the HARPS-Nspectrograph with 15 years of archival HIRES/Keck RV data. We carry out anMCMC-based analysis of the RV time series, inclusive of Gaussian Process (GP)approach to the description of stellar activity induced RV variations.  Our analysis confirms the Keplerian nature and refines the orbital solutionfor the 11.44-day period super Earth, Gl15A\,b, reducing its amplitude to$1.68^{+0.17}_{-0.18}$ m s$^{-1}$ ($M \sin i = 3.03^{+0.46}_{-0.44}$M$_\oplus$), and successfully models a long-term trend in the combined RVdataset in terms of a Keplerian orbit with a period around 7600 days and anamplitude of $2.5^{+1.3}_{-1.0}$ m s$^{-1}$, corresponding to a super-Neptunemass ($M \sin i = 36^{+25}_{-18}$ M$_\oplus$) planetary companion.  We also discuss the present orbital configuration of Gl15A planetary systemin terms of the possible outcomes of Lidov-Kozai interactions with thewide-separation companion Gl15B in a suite of detailed numerical simulations.In order to improve the results of the dynamical analysis, we derive a neworbital solution for the binary system, combining our RV measurements withastrometric data from the WDS catalogue.  The eccentric Lidov-Kozai analysis shows the strong influence of Gl15B on theGl15A planetary system, which can produce orbits compatible with the observedconfiguration for initial inclinations of the planetary system between$75^\circ$ and $90^\circ$, and can also enhance the eccentricity of the outerplanet well above the observed value, even resulting in orbital instability,for inclinations around $0^\circ$ and $15^\circ - 30^\circ$.  The Gl15A system is the multi-planet system closest to Earth, at $3.57$ pc,and hosts the longest period RV sub-jovian mass planet discovered so far.

The HADES RV Programme with HARPS-N@TNG VIII. Gl15A: A multiple wide planetary system sculpted by binary interaction