We consider a Holographic model for non-linear arcsin electrodynamics coupled with gravity and axions which is dual to some strongly coupled field theory in (2+1) dimension. We have studied the fermionic response on the background solution given by this model, particularly through the analysis of fermionic spectral functions for backreacted solutions at finite temperatures. Our results reveal that varying the charge density induces a temperature dependent phase transition from a normal metal to strange metal phase, offering potential insights into the electronic properties of materials and mechanisms underlying non-Fermi liquid behavior in condensed matter physics and quantum field theory.