The Digital Deluxe Edition is just the regular base game with the two DLCs included in the package at a slightly cheaper price than buying all three separately. So it should be working fine with the current WeMod trainer.
In the Typhon Hunter DLC included with the deluxe edition, make sure you are not trying to use the trainer in an online PVP mode. Nor the VR mode. Since trainers aren’t built for them.
If you’re playing the Mooncrash DLC, note that the trainer instructs you to launch the game first from Steam, then press Play in WeMod afterwards.
If you’re playing the base game, change the cheat hotkeys in the trainer before pressing the Play button (click the hotkeys), as the default keys in the trainer (F1, etc) actually conflict with in-game hotkeys. For example, change the F1 cheat to Numpad1.
Press the History button underneath the Play button too and make sure the most recently updated trainer in this list is selected.