\( \Large log_{\frac{1}{4}} \left(a^{2}-1\right) < log_{ \left(\frac{1}{4}\right) } \left(a+1\right)^{2} \) => \( \Large a^{2}-1 > \left(a+1\right)^{2} \) => \( \Large a^{2}-1 > a^{2}+1+2a \) => \( \Large 2a + 2 < 0 => a < -1 \)
