  In this paper, a modified teleparallel gravity action containing a coupling
between a scalar field potential and magnetism, in anisotropic and homogeneous
backgrounds, is investigated through Noether symmetry approach. The focus of
this work is to describe late-time-accelerated expansion. Since finding
analytical solutions carrying all conserved currents emerged by Noether
symmetry approach, is very difficult, hence regularly in the literature, the
authors split the total symmetry into sub-symmetries and then select, usually,
some of them to be carried by the solutions. This manner limits the forms of
unknown functions obtained. However, in ref. [68], B.N.S. approach was proposed
in order to solve such problems but its main motivation was carrying more
conserved currents by solutions. In this paper, by eliminating the
aforementioned limitation as much as possible, a trick leading to some graceful
forms of unknown functions is suggested. Through this fruitful approach, the
solutions may carry more conserved currents than usual ways and maybe new forms
of symmetries. I named this new approach to be CSSS-trick (Combination of
Sub-symmetries through Special Selections). With this approach, it is
demonstrated that the unified dark matter potential is deduced by the gauge
fields. Utilizing the $\mathfrak{B}\text{-function}$ method, a detailed data
analysis of results obtained yielding perfect agreements with recent
observational data are performed. And finally, the Wheeler-De Witt (WDW)
equation is discussed to demonstrate recovering the Hartle criterion due to the
oscillating feature of the wave function of the universe.
