  We derive Friedman-Lemaitre-Robertson-Walker (FLRW) models as non-trivial
solutions of "Cotton Gravity" (CG), a recently proposed gravity theory
alternative to General Relativity (GR) based on the Cotton tensor. Using an
equivalent formulation, we show that CG leads to FLRW models with a modified
expression for spatial curvature in terms of the Ricci scalar of hypersurfaces
orthonormal to the 4-velocity. Considering models compatible with a well posed
initial value formulation leads to operationally the same FLRW models in GR,
but endowed with a precise covariant characterization of the positive/negative
cosmological constant as the case with constant negative/positive spatial
curvature. Under CG, the $\Lambda$CDM model becomes the unique FLRW dust model
with constant negative spatial curvature.
