<p>Noether symmetry methods play an important role in analyzing the integrability and conservation laws of dynamical systems. Recently, nonstandard Lagrangians have attracted significant attention for describing complex nonlinear equations. This paper investigates the perturbation of Noether symmetries and adiabatic invariants for time-delayed dynamical systems with exponential and power-law nonstandard Lagrangians. Firstly, based on Hamilton’s principle, the equations of motion for systems with time delay arguments are derived. Subsequently, the definitions for Noether symmetry and quasi-symmetry are given, based on which exact conserved quantities are derived. By introducing small disturbance parameters, the equations of motion for the perturbed systems are established, and adiabatic invariants are obtained. It is demonstrated that under small perturbation, the original conserved quantities evolve into adiabatic invariants. Finally, illustrative examples are provided to verify the validity and applicability of the proposed method. The results offer an analytical approach for exploring the conservation properties of time-delayed dynamical systems with exponential and power-law nonstandard Lagrangians.</p>