This paper is a continuation of the paper by \textit{X. Qi} et al. [J. Contemp. Math. Anal., Armen. Acad. Sci. 52, No. 3, 128--133 (2017; Zbl 1372.30023)]. Here the authors prove some non-existence theorems on entire solutions with finite order of Fermat-type differential-difference equations using Nevanlinna theory. More precisely, they consider the equation \(F(z)^{n}+(f^{\prime}(z+c))^m=r(z)e^{p(z)}+s(z)e^{q(z)}\), where \(r(z)\) and \(s(z)\) are two non-zero polynomials and \(p(z)\) and \(q(z)\) are two non-constant polynomials. Under certain conditions, they show that the above equation has no transcendental entire solutions with finite order.