This preprint develops the variational structure of FRAMOR, an information-weighted metric-affine microgeometry positioned between the earlier FRAMOR Foundations paper (https://doi.org/10.5281/zenodo.18154594) and the forthcoming FRAMOR Microtheory. The goal is to formalise the covariant and dynamical ingredients from which later phenomenological modules will be built. The construction begins with an effective-information functional I_eff, encoding coarse-grained information content, coherence, curvature response and horizon-related information. From I_eff arise an information current K_FR and a Landauer-guard energy density that describe how information change carries energetic and geometric consequences. On the geometric side the work employs a general metric-affine Lagrangian L_geo(g,S), where the affine connection contains torsion and nonmetricity. This keeps the formulation compatible with metric-affine gravity while allowing controlled deformations of general relativity. The full action combines L_geo with an information-interaction sector and a Landauer-type term that penalizes variation of I_eff along timelike congruences. A key result is a FRAMOR balance law derived from diffeomorphism invariance and generalized Bianchi identities. The usual covariant conservation of the total stress-energy tensor gains an additional information-driven contribution, leading to an entropic Bianchi-type consistency relation linking horizon information, an effective Planck scale, the information current and the Landauer-guard density. Using this structure the paper constructs non-singular FRAMOR core configurations in which a strongly information-coupled interior behaves effectively like a de Sitter region with emergent scale Lambda_L = 8 pi G epsilon_0. The Raychaudhuri-Landauer subsystem provides a stable attractor mechanism, replacing curvature singularities with finite-radius cores. At cosmological scales a minimal FRW reduction is introduced in which the FRAMOR energy density rho_FR evolves according to a relaxation-type equation. This generates a time-dependent effective cosmological term in a simple covariant setting and forms the basis for later phenomenological modules developed in the forthcoming FRAMOR microtheory. An appendix outlines a four-mode Bose–Einstein condensate analogue-gravity proposal intended to illustrate how structural elements of the effective-information functional and Landauer-guard sector could be realised in a controllable laboratory setting. Overall, this Variational Structure preprint provides the covariant and variational infrastructure linking FRAMOR Foundations to the upcoming FRAMOR microtheory, where the microscopic origin of I_eff, the core dynamics and the phenomenological windows will be developed in detail.