Aiming at the problems of the current OAM antenna, such as fewer modes, and difficulty to conform, this paper designs a terahertz-frequency array antenna using graphene and MXene. By adjusting the feed phase difference, the antenna can generate OAM vortex waves with integer mode of 0~3 and fractional mode of 0.5, 1.5 and 2.5. The use of graphene material allows the antenna to be reconfigurable within a frequency range of 1.1~1.9THz while maintaining a bandwidth of 0.3THz. To overcome the impact of bending on the antenna, compensation methods, including phase and frequency compensation, are proposed to maintain the vortex wave form and working frequency.