We here apply the ASTG-model to the observed secular trend in the mean Sun-(Earth-Moon) and EarthMoon distances thereby providing an alternative explanation as to what the cause of this secular trend may be. Within the margins of observational error; for the semimajor axis rate of the Earth-Moon system, in agreement with observations (of Standish and Kurtz, Proceedings IAU Colloquium, IAU, pp. 163-179, Cambridge University Press, Cambridge, 2005), we obtain a value of about +(5.10 ± 0.10) cm/yr. The ASTG-model predicts orbital drift as being a result of the orbital inclination and the Solar mass loss rate. The Newtonian gravitational constant G is assumed to be an absolute time constant. Krasinsky and Brumberg (Celest. Mech. Dyn. Astron. 90(3-4):267-288, 2004);Standish and Kurtz (2005) reported for the Earth-Moon system, an orbital recession from the Sun of about +(15.00 ± 4.00) cm/yr and +(7.00 ± 2.00) cm/yr respectively; while Williams et al. (Phys.