Why is it that our moms don't like the idea of us dating?

My boyfriend and I have been going out for a little over a week now. I’m 13, he is my first boyfriend, and I just told my parents about him a few days ago. At first, they were okay with it. There’s nothing really wrong with him. We’re both in the 8th grade, we both are in robotics, and we both are in band. He and I don’t go to the same school though. It’s not that far from each other, but far enough that I would need to drive there to get to him [but being 13, I can’t drive]. So today, I had dinner with my family [parents, cousins, aunties and uncles, etc.]. My parents knew about my boyfriend, so I also told my extended family about him too. They wanted a picture of him, and so I showed them one… of me and him hugging. My mom freaked out and started asking me questions like, “Where was this taken?” and “Why are you guys so close?” and stuff like that. She cooled off eventually, but I’m not sure how she feels about US anymore… Then my boyfriend called me and we were talking for a bit. He told me that he had told his mom about us. He said that his mom said things like, “No hugging, no kissing, no dates unsupervised by an adult”… which made the both of us feel guilty because we’ve already done all of that. Then he said that his mom wants me to come to one of his baseball games so that she can meet me… no problem with that. But he was supposed to meet my parents on Tuesday, and he said that because his mom is freaking out, he might not be able to go. I’m not sure what to make out of all of this. It seems like everyone but our moms are okay with us going out. Should I break up with him and stop the pain, or should I wait it out with him and see what happens?