  We study the cosmology of a quadratic metric-compatible torsionful gravity
theory in the presence of a perfect hyperfluid. The gravitational action is an
extension of the Einstein-Cartan theory given by the usual Einstein-Hilbert
contribution plus all the admitted quadratic parity even torsion scalars and
the matter action also exhibits a dependence on the connection. The equations
of motion are obtained by regarding the metric and the metric-compatible
torsionful connection as independent variables. We then consider a
Friedmann-Lema\^itre-Robertson-Walker background, analyze the conservation
laws, and derive the torsion modified Friedmann equations for our theory.
Remarkably, we are able to provide exact analytic solutions for the torsionful
cosmology.
