how to marinate vegetables?

im not really a good cook and i can only cook a handful of things, so this is a real newbie question - how do i marinate vegetables so that they taste like the marinade?

i tried making souvlaki koutopulo, but since im noy really a fan of just meat, i thought bout adding vegetables as well. nothing fancy, just onion, paprika, zucchini and turnip cabbage.

the marinade is pretty simple, some paprika, ground cumin, thyme, oregano, ground pepper, olive oil and lemon.

i put both the meat and vegetables in a bag, added the marinade, made sure its thoroughly spread and left it for two hours.

the meat tastes like the marinade, but vegetables taste mostly like vegetables with a tiny bit of spices on top of them (on the skin).

how am i supposed to marinate them, so the marinade permeates the flesh of those vegetables? am i supposed to poke them with a fork? slit them? and if yes, in some specific pattern? how long should i marinate them? overnight in the fridge? i forgot to add salt, so im not really worried bout them turning soggy

im fine with zucchini tasting like zucchini, i just wanted to taste something else other than just this.