Manuals For Family Members

I have a manual for my family that when I say something, I want them to find it interesting and engage in conversation with me. I have several members who appear to me to scoff at what I say, and don’t engage, then change the subject. I get stuck in anger, feeling like there is something wrong with me, then I shut down and don’t talk to them. I would like to stay confident and unflappable when they do this, not feel like something is wrong with me. Can you help me figure out possible thoughts for my intentional model?

Unintentional model:
C: Silence, eye roll
T: How rude, they should act interested in what I said.
F: Angry
A: Shut down, stop talking to them
R: No connection

(I also have an unintentional model where I think there must be something wrong with me, and I feel shame. The A and R lines are the same.)

Intentional model:
C: Silence, eye roll
T: [???] Maybe something like, “they’re running a model that has nothing to do with me.” Or, “conversations are 50/50.”
F: No big deal
A: Stay open to connecting
R: Harmonious family relationships

So far when I think the T options in my IM, I still feel upset and shut down. Any ideas on other thoughts for my IM?