From the Super Mario Wiki
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Barbecue Guys are red, invincible Shy Guys that only appear in Yoshi's Story. They push torches that erupt with a bar of fire, in which they trap Yoshi between. The only way Yoshi can escape is to keep moving along with them. When Yoshi reaches the finish, the Barbecue Guys put out their torches and leave. They are very rare; only two appear in the entire game. They are only found in Magma Castle, the final level in Yoshi's Story.