You can build a PyTorch training loop for a Transformer-based encoder-decoder model by setting up forward passes, computing loss, and updating parameters in each iteration.
Here is the code snippet below:

In the above code we are using the following key points:
- 
PyTorch DataLoader to iterate over batches.
 
- 
Transformer model with encoder and decoder layers.
 
- 
CrossEntropyLoss and Adam optimizer for training.
 
- 
Teacher forcing with shifted target sequences for decoder input.
 
Hence, this setup provides a complete and efficient framework to train Transformer-based encoder-decoder models in PyTorch.