  In this work, by employing the exterior algebra formalism, we study the
matter coupling in Minimal Massive 3D Gravity (MMG) by first considering that
the matter Lagrangian is connection-independent and then considering that the
matter coupling is connection-dependent. The matter coupling in MMG has been
previously investigated in the work Arvanitakis {\it et al} (2014 {\it Class.
Quantum Grav.} {\bf 31} 235012) in tensorial notation where the matter
Lagrangian is considered to be connection-independent. In the first part of the
present paper, we revisit the connection-independent matter coupling by using
the language of differential forms. We derive the MMG field equation and
construct the related source 2-form. We also obtain the consistency relation
within this formalism. Next, we examine the case where the matter Lagrangian is
connection-dependent. In particular, we concentrate on the spinor-matter
coupling and obtain the MMG field equation by explicitly constructing the
source term. We also get the consistency relation that the source term should
satisfy in order that spinor-matter coupled MMG equation be consistent.
