https://doi.org/10.1140/epjc/s10052-026-15345-4
Regular Article - Theoretical Physics
Cosmology in generalized hybrid metric-Palatini with matter-geometry coupling
1
Department of Physics, K.N. Toosi University of Technology, P.O. Box 15875-4416, Tehran, Iran
2
School of Physics, Damghan University, 36716-45667, Damghan, Iran
a
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Received:
20
November
2025
Accepted:
16
January
2026
Published online:
29
January
2026
Abstract
Cosmological implications of a class of hybrid metric-Palatini gravity with a non-minimal matter-geometry coupling is considered. The theory contains a metric curvature tensor, together with a curvature tensor constructed from an independent affine connection. We will show that the model could be written as a bi-scalar–tensor gravity with a non-minimal coupling between matter sector and a scalar field. The theory will then be confronted with observational data from Cosmic Chronometers, BAO dataset from DESI and the Pantheon
dataset. We will show that the theory could be a good alternative to the 
CDM model with the difference that the conservation of the baryonic matter sector holds only at the background level. The statefinder analysis will also be applied to the theory and it is observed that the DE behavior of the theory exhibits a quintessence to phantom transition occurs at redshifts around 
.
© The Author(s) 2026
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