In a multi-fold universe, gravity emerges from entanglement through the multi-fold mechanisms. As a result, gravity-like effects appear in between entangled particles, whether they are real or virtual. Long range, massless gravity results from entanglement of massless virtual particles. Entanglement of massive virtual particles leads to massive gravity contributions at very smalls scales. Multi-folds mechanisms also result into a spacetime that is discrete, with a random walk fractal structure, and non-commutative geometry, which is Lorentz invariant, and where spacetime nodes, and particles, can be modeled with microscopic black holes. All these recover General Relativity (GR) at large scales, and semi-classical model remain valid till smaller scale than usually expected. Gravity can therefore be added to the Standard Model (SM) resulting into what we define as SMG. This can contribute to resolving several open issues with the Standard Model without new Physics other than gravity, as well as to open issues with the Standard Cosmological Model The paper discusses how multi-folds apply when sources of gravity, or the center of mass of entangled systems, are dynamically moving: multi-folds mechanisms remain the same but using the evolving center of mass. As a result gravity, or gravity-like, contributions are to be vectorially integrated over the retarded multi-fold spacetime location that can contribute to a point at a certain time (spacetime location), instead of all the multi-folds for all directions. It is illustrated in the case of a rotating sphere as source of gravity: we recover the Lense-Thirring results with its centripetal, Coriolis and axial contributions. The analysis allows us to settle contradictory, and incorrect, results encountered in the literature. It also shows how non-linearity of General Relativity (GR) appears in the multi-fold mechanisms, something that may not have been obvious to all in the original papers. The ability for the multi-fold mechanisms to explain such GR effects help better understand these effects, but more importantly, it is another way to illustrate and validate that multi-folds recover GR and GR recovers the multi-folds.