In this paper, we investigate the holographic inflation in the framework of two gravitational theories like [Formula: see text] gravity, where [Formula: see text] corresponds to the torsion scalar and DGP braneworld model which is based on the idea that our four-dimensional FRW universe located on five-dimensional manifold. The modified infrared cutoff is used to explore all the inflationary parameters as slow-roll parameters [Formula: see text], number of [Formula: see text]-folds [Formula: see text], scalar spectral index [Formula: see text], tensor-to-scalar ratio [Formula: see text] and running of the scalar spectral index [Formula: see text]. Also, we investigate the behavior of inflationary parameters [Formula: see text] and [Formula: see text] through graphical presentation. The behavior of these parameters shows the consistency with Planck data [Formula: see text].
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