Non-Hermitian topological phases in static and periodically driven systems have attracted great attention in recent years. Finding dynamical probes for these exotic phases would be of great importance for the detection and application of their topological properties. In this work, we introduce an approach to dynamically characterize non-Hermitian Floquet topological phases in one dimension with chiral symmetry. We show that the topological invariants of a chiral-symmetric Floquet system can be fully determined by measuring the winding angles of its time-averaged spin textures. We further purpose a piecewise quenched lattice model with rich non-Hermitian Floquet topological phases, in which our theoretical predictions are numerically demonstrated and compared with another approach utilizing the mean chiral displacement of a wave packet.
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