This paper proposes the Temporal-Spatio Graph ConvNeXt (TSGCNeXt) model to improve the efficiency of skeletal-based action recognition in long-term time-series data. TSGCNeXt utilizes a novel, simple-to-structure graph learning mechanism, Dynamic-Static Separate Multi-graph Convolution (DS-SMG), to aggregate features from multiple independent topological graphs and prevent node information loss during dynamic convolution. Furthermore, it improves the backpropagation computation of dynamic graph learning by 55.08% through a graph convolution learning acceleration mechanism, and efficiently models long-term time-series features using three spatiotemporal learning modules. It outperforms existing methods on large-scale datasets, NTU RGB+D 60 and 120, and achieves state-of-the-art performance by introducing an EMA model for multi-stream fusion. It achieves accuracies of 90.22% and 91.74% on the cross-subject and cross-set datasets of NTU 120, respectively.