Why t2g energy is lowered? When atomic orbitals overleaps there are formed bonding and anti bondig orbitals (bonding orbitals have always lower energy). Similiar - energy of t2g orbitals is lowered as they are part of bonding MO - formed from dxy, dxz, dyz and empty LUMO of pi-acceptor.
In simplified version - they have lower energy as pi-acceptor reduce their electron density.