Hello MajaSep and welcome.
I have been in such a relationship. It didn't work out. I come from a place with much cultural baggage. He comes from a place with not much history - a newly formed country. I found myself more open to his country and culture than he was. I also tried to learn his language to come closer to him. He never tired to learn mine and generally he never made any attempts to come closer to my culture. I think that these "cross-cultural" relationships work out better either when both people come from heavy-cultural places because they both know how and what to respect or when at least one of them wants to join in to the other's culture in some way. The man you are with is making no attempt to come closer to what you grew up with. Your culture is what made you and it is a part of you but he doesn't seem to be approaching that. If you shove these indications under the rug, I think that they will appear again MUCH BIGGER when you guys have kids. How will you raise them? Maybe he does not want to talk about this issue because he has it fixed in his mind that everything will go according to his culture. Maybe to him, your culture does not matter. I remember the guy I was with used to publicly make fun of my culture and belittle it. All of the above of course come from my own bitter experience. I hope things work out for you. I hope he loves you enough to want to talk things through with you and keep the relationship going. Good luck.