According to Official Guinness Records,
The most consecutive backflips on a Russian Bar is 44 and was achieved by the Russian Bar Trio (Canada) on the set of CCTV-Guinness World Records Special at Heilan International Equestrian Club, in Jiangsu, China, on 9 January 2014.
For a complete list of 2014 records, please visit 2014 Guinness Records in China.