Metasurfaces are subwavelength artificially engineered devices which serve as the best alternative for conventional bulk optical components, owing to their unique capability to control and manipulate the intensity, phase, and polarization of the electromagnetic waves. They have emerged as an exceptional podium for the miniaturization and on-chip implementation of many diverse prodigies such as 3D imaging, lensing, beam shaping and light-twisting, etc. Regardless of the rapid development in this domain, metasurfaces exhibiting metallic scatterers are still subjected to poor transmission efficiency due to high ohmic losses and optical absorptivity. In this work, we demonstrate a transmission-based highly efficient alldielectric metasurface to generate finite energy accelerating 1D and 2D airy beams at the visible wavelength of 633 nm by concurrently manipulating the phase and the amplitude of the cross-polarized transmitted light. The proposed metasurface employs hydrogenated amorphous silicon(a-Si:H) nanoresonators which offers a remarkable lead in term of efficiency over metals and other high-index dielectrics (such as TiO2 and GaN) with respect to cost, CMOS compatibility and ease of fabrication. Here the orientation of the nano-bars is varied to control the phase and polarization whereas its geometric parameters are optimized to tune the cross-polarized transmission amplitude. In comparison to the previously reported work, we achieved sufficiently high cross-polarized transmission efficiency i.e., 73%. Owing to its unique characteristics of being self-accelerating, diffraction free and self-healing, this Airy beam based metasurface will aid us to develop planar 2D devices for plentiful applications such as Super-resolution fluorescence imaging, light-sheet microscopy, nano-particles trapping, and optical bullets.