It is well known that maximum distance separable (in short, MDS) codes and linear complementary dual (in short, LCD) codes are very important in coding theory and practice. In 2023, Yue et al. [29] constructed three classes of LCD MDS codes via a class of TGRS codes with one twists, i.e., (∗)-TGRS codes. Recently, Wu et al. [31] also constructed several classes of LCD MDS codes via a class of TGRS codes with two twists. In this paper, we unify their constructions by defining the (∗)-(L,P)- twisted generalized Reed-Solomon (in short, (∗)-(L,P)-TGRS) code, give the parity-check matrix of (∗)-(L,P)-TGRS codes, and then construct four classes of LCD codes. Finally, some corresponding examples are given.