Pass your compute_metrics function to KerasMetricCallback,
and use the PushToHubCallback to upload the model:

from transformers.keras_callbacks import KerasMetricCallback, PushToHubCallback
metric_callback = KerasMetricCallback(metric_fn=compute_metrics, eval_dataset=tf_eval_dataset)
push_to_hub_callback = PushToHubCallback(
     output_dir="food_classifier",
     tokenizer=image_processor,
     save_strategy="no",
 )
callbacks = [metric_callback, push_to_hub_callback]

Finally, you are ready to train your model!