He do have Frog Kata, and he been using it longer so clearly he know more about it, even though Naruto perfected it.
It doesn't matter if Jiraiya had Sage mode longer, the Strenght of Sage mode is determined by how much Natural energy you can evenly mix with yours, Jiraiya wasn't able to have natural chakra balance with his and was as strong as he was because of this, he was really strong and his fusion with Ma and Pa toad really makes his better than Naruto's but Naruto sage mode is stronger than Jiraiya's chakra wise and power wise. Naruto was able to perfectly balance his chakra with natural chakra allow him to hold more sage chakra which made him physically stronger, jutsus power increased, sensory ability the strongest in the manga yet in battle and tracking. If Naruto can fuse with Ma and Pa toad then he would be stronger than most kages and other ninjas. Naruto vs Jiraiya in frog kata, Naruto would win from being physically stronger, more enhanced durability, endurance, agility, sensory ability and increased jutsus (taijutsu).