Which are the most important competitions in LL and if Jiu Jitsu has been innovative, in the last 10 years, with new guards and positions. Can you say the same for LL? What innovations in the last 10 years? No intention to start a controversy.
If you speak of the biggest and most important competition that exists, you are talking about "Copa Budokan" which is run by Joao Ricardo. It has the richest history, plus it has been arround for more then thirty years. These days you have a lot of competitions in Brazil, which are aiming and striving to either become the top Luta Livre competition or at least be one of the best. Eugenio Tadeu, Johil de Oliveira, Hugo Duarte, Bosco Lima and others are running their own competitions with mixed success, but to this day "Copa Budokan" is still the biggest. From what I read and heard, "Copa Budokan" these days is losing a little but of steam, mostly because of politics and because sometimes people go and play the game instead of striving to win it. The idea of "Copa Budokan" radicates in that Luta Livre Academies select their top two by weight class to compete, and whichever Academy wins the most brackets wins the "Copa Budokan", but for example, the last year or the one before, an Argentinean Academy won the Tournament...because they put participants on the weakest brackets and racked up the points by doing that. It is not the first time that they have done that, and I know that a LOT of Academies were not happy of that.
Over the course of these past ten years probably the main thing that Luta Livre added at a Worldwide level, were MMA fighters who represented the art and the use of the Guillotine as a position and/or Submission by Leozada Nogueira. But in reality if you speak over the course of the last twenty or thirty years, then yes, Luta Livre added a shit-ton of stuff to Grappling or MMA. The proliferation of cross training was one the things that separated Luta Livre with others years ago, they were the first to train Muay Thai and add Olympic Wrestling to their trainings. You have to take into consideration that from the 80s to the mid 90s, you fought representing and using what was a part of your style. What is more, at the beginning Brazilian Muay Thai fighters started to train Luta Livre instead of BJJ to prepare for Vale Tudo competitions. Also, you had the advent and proliferation of the use of Leg Locks in Grappling and MMA, the perfection of the use of the Guillotine by Alexandre "Pequeno" Nogueira.
Another thing that Luta Livre has added, that is not on a Worldwide level, but more on a Country and Continent one, is the growth of it on Europe and countries like Peru. Luta Livre as a style is considered by many (I don´t know the numbers), as the same or bigger than Jiu-Jitsu in countries such as France or Germany. This growth happened because of the work of people such as Daniel D´dane, Alexandre Nogueira, Leozada Nogueira, Nicolas Renier, Flavio Santiago, Nicolas Renier, etc. and in Peru with the Iberico brothers who are the first trainers of mostly all the Peruvian fighters that are/or were in the UFC, with the exception of Tony De Souza.
I would say that in a way Luta Livre is today similar to Gokor Chivichyan and what he put in the table...what do I mean with this?? First of all, I don´t want to disrespect anyone, but Gokor and his guys where the first ones to really show how Judo can be used in Grappling and MMA, plus how they accepted and used Leg Locks as a valid and powerful Submission, but their heyday was in the early to mid 2000s. Nowadays Gokor, doesnt´have too many guys competing at the highter levels, but nonetheless he is considered to be a top guy and one who added and was an integral part to the sport.
Luta Livre in the early 2000s started to lose a lot of talent, such as Babalu, Evangelista Cyborg, Marco Ruas, Cacareco, Alexandre Pequeno, etc. who they either went into a big Jiu-Jitsu camp and started to represent BJJ, such as Brazilian Top Team or Gracie Barra or started their own Team, like Ruas Vale Tudo, this exodus happened mostly because of monetary issues. So yeah, if you take only the past ten years into consideration it isn´t a lot what it has been added, but if you see the bigger picture and take into consideration twenty or thirty years ago, things are much different.