Banh Mi Portobello Burger

Juice of one medium lime
2 tablespoons tamari
1 teaspoon toasted sesame oil
1/2 teaspoon garlic powder
1/2 teaspoon ground ginger
Four large portobello mushroom caps, stems remove removed
One small radish, sliced
One medium carrot sliced
1/4 cup rice vinegar
1/4 cup of water
1 tablespoon of sugar
1 teaspoon salt
2 tablespoons mayonnaise
1 teaspoon hot sauce
Rolls for sandwich