This paper investigates the influence of temperature anisotropy on the ignition criteria of deuterium-tritium (DT) and Proton-Boron-11 (PB) fuels in fast ignition fusion schemes using short-pulse laser-generated shock waves. The study demonstrates that higher temperature anisotropy leads to an increase in the required confinement parameter for both DT and PB fuels. Additionally, the fusion energy fraction (fα) decreases as the temperature anisotropy parameter increases. The maximum fraction of absorbed α-particles in the hot spot is approximately 0.86 for DT fuel, whereas it is 0.32 for PB fuel. At a time scale of 5×10-13s, a tenfold increase in temperature anisotropy results in a 4% increase in the maximum confinement parameter for DT fuel, while PB fuel experiences a 23% increase. Furthermore, the fusion energy fraction of DT fuel decreases to 40%, and PB fuel experiences a decrease of approximately 65%. The presence of temperature anisotropy can alter the critical values of temperature, density, and confinement time required for sustained fusion reactions. Anisotropic conditions can impact the energy deposition of beams in the fuel plasma, leading to variations in energy transfer efficiency and, consequently, overall ignition efficiency. These findings underscore the importance of considering temperature anisotropy in the ignition criteria of fast ignition fusion schemes. Managing temperature anisotropy is crucial for achieving the required confinement parameters and optimizing the fusion energy fraction for both DT and PB fuels.