Unconventional superconductivity recently observed in twisted bilayer graphene is associated with the presence of van-Hove singularities very close to the Fermi level reflecting the flattening of bands for a set of magic twist angles. In this paper, we address a stack of two identical quasi-one-dimensional layers, each one composed of a set of chains with $p$-wave orbitals at each site. When the layers are stacked with a ${90}^{\ensuremath{\circ}}$ relative angle, the bilayer system resembles the Mielke lattice (which admits one exact flat band in the one-body tight-binding model for particular values of the hopping parameters). When a small rotation is applied to one of the layers, regions with different layer stacking appear that may be characterized as one-dimensional or two-dimensional regions according to the most relevant hopping integrals between layers. The system, for sizes smaller or of the order of the Moir\'e pattern unit cell, can be qualitatively described: (i) addressing individually each region, for example in what concerns the density of states, (ii) interpreting the full lattice as a coupled system of these regions. This generates a $n$-band model, where each band is associated to a particular region of the lattice. We address the role of these different regions on the upper critical field transition curve of a superconducting phase.