  In the present work, Raman and photoluminescence spectroscopies were used to
study the dynamics of phonons and different excitons of MoS$_2$ bilayer under a
rotation of 29$^{\circ}$ dependent of the temperature. The twisted bilayer
(T-2L) of MoS$_2$ was obtained through mechanical exfoliation, and subsequently
rotated using a dimethyl polysiloxane (PDMS) substrate and deterministic
transferred to a SiO$_2$ substrate. The Raman spectrum of the twisted bilayer
presents three peaks E$'$ (386 cm$^{-1}$), A$'_{1}$ (405 cm$^{-1}$) and an
FA$'$ peak at approximately 409 cm$^{-1}$ linked to the A$'_{1}$ mode, which is
attributed to a Moir\'e pattern phonon. Both modes (A$'_{1}$ and FA$'$) are
dependent of light polarization in a way that demonstrates an effective
coupling between the layers. It was also verified through the Gr\"uneisen
parameter, an increase in the anharmonicity of the mode in the E$'$ plane and a
decrease the same for A$'_{1}$. In the PL measurements, the appearance of an
exciton in T-2L was verified, which generated a second shoulder measured at
$\approx$1.58 eV attributed to an indirect transition of an I trion. The
interaction between the rotated monolayers of MoS$_{2}$ proved to be an
important parameter for possible fine-tuning of the properties of bilayer
samples.
