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 that they be 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 that is Lorentz invariant and where spacetime nodes and particles can be modeled with microscopic black holes. All these recover General relativity at large scales and semi-classical model remain valid till smaller scale than usually expected. Gravity can therefore be added to the Standard Model. This can contribute to resolving several open issues with the Standard Model. In this paper, we discuss some of the properties and implications of the massive gravity contributions. In particular we will discuss it similarities and differences with what is usually meant by massive gravity in conventional physics and derived modern bigravity theories.. Instead of being a large-scale theory, where massive gravity can support a limited range or even a repulsive behavior, multi-fold massive gravity is here a mostly small-scale effect with almost no larger scale impact other than through entangled virtual neutrino pairs. Multi-fold universe accelerated expansion come from other effects of multi-fold mechanisms. In multi-fold theory, massive gravity is also multiple (one per available virtual carrier). The resulting gravity model is different from all the massive gravity and bigravity current proposed in the literature. In particular we discuss the known issues with conventional classical massive gravity. We conclude with a suggestion to attempt, with or independently of a multi-fold models, bi (or multi) gravity models, massive only at very small scale with massless gravity at any larger scale. We already know that such model helps address many Standard Model and Standard Cosmology Model open issues: there is value in SMG: the standard Model with non-negligible gravity at its scales.