In 2020 the team rebranded itself as Esponsorama Racing, in line with their registered company name, though Grupo Avintia remained as a main sponsor.

[4] After many World Championship wildcard appearances, BQR became a full entry in the 2001 season using Honda bikes in the 250 cc class.

BQR won its first World Championship race with Scott Redding riding an Aprilia 125 at the 2008 British Grand Prix.

In 2013 Avintia entered the MotoGP class with Kawasaki-engined FTR frames, fielding two bikes for Hiroshi Aoyama and Héctor Barberá.

[8] At the British Grand Prix, Rabat's major crash with Franco Morbidelli at Stowe corner was a contributing factor in the decision to cancel the race due to unsafe conditions.

As a result of the triple fracture he sustained to his right leg, Rabat missed the remaining 7 races of the 2018 season, and was replaced by Christophe Ponsson and Jordi Torres.

In 2020 the team now known as Esponsorama Racing retained Tito Rabat, this time paired with KTM factory exile Johann Zarco.

The team achieved two wins with Eric Granado and two podiums with their former MotoGP rider Xavier Siméon, good for third and sixth place in the championship, respectively.