In this paper, we investigate the recently proposed relativistic theory for
MOND using the phase space analysis. Unlike its precedent theory, namely TeVeS,
this theory is claimed to agree with the observed Cosmic Microwave Background
and matter power spectra. We convert the background cosmological equations of
the theory to a set of first-order autonomous equations. Then we explore the
corresponding critical points and their physical meaning. This method is
powerful in the sense that the cosmological behavior of the model is diagnosed
independently of the magnitude of the free parameters of the theory. We show
that the theory has a viable sequence of cosmological epochs. Although using
specific initial conditions, this theory mimics the standard cosmological
model; it provides a richer structure as far as the background cosmology is
concerned. This implies that further investigations are required to see if this
theory contributes to addressing the current cosmological tensions.
