Here is the step-by-step guide to reproducing Amazon Forecast: https://nixtla.github.io/statsforecast/examples/aws/amazonforecast.html

As you can see, all the exogenous variables of M5 are included in Amazon Forecast.

Concretely, if you read the same link you posted, we even provide links to the Static and temporal exogenous variables you mention.

From the ReadMe:

The data are ready for download at the following URLs:

• Train set: https://m5-benchmarks.s3.amazonaws.com/data/train/target.parquet
• Temporal exogenous variables (used by AmazonForecast): https://m5-benchmarks.s3.amazonaws.com/data/train/temporal.parquet
• Static exogenous variables (used by AmazonForecast): https://m5-benchmarks.s3.amazonaws.com/data/train/static.parquet