Vent/need advice

Last Sunday, my boyfriend was picking me up and was running late ( I didn’t know that). [He tells me, he’s picking me up at a specific time. Will get here but not let me know and just wait until I come outside or I call him and he Will say he has been waiting since —.. Since according to him, I should be ready by that time and waiting outside. but he will call or text that he’s outside mostly all the time since he knows I tend to be running late]

So I called him, I asked if he was outside, he said no, I asked where/how close he was and he told me but I couldn’t hear. I asked probably once or twice again and that’s when he shouted it out and that’s when I heard. However, I wasn’t alone, my parents were in the kitchen with me and they heard when he “yelled” at me. The thing is, the night before I put my volume to maximum , my ringtone, everything. They told me that they heard the way he yelled at me and how I shouldn’t let him do that and this and that. Which I do understand but the volume was to the maximum so I could’ve heard him better but I also didn’t expect him to shout it out so it sounded extra loud. (Y’all know phones but extra loud when talking on the phone)

I leave and told him how my parents heard, he looked embarrassed and explained how I couldn’t heard so he said it a bit louder hoping I would -which I did-. Yesterday my mom brought up the yelling, and how I shouldn’t let him yell at me. I don’t. Whenever he tries it, I stop him and he apologizes. She asked if I told him, i said yes, she asked how he reacted, and before i could respond, she said he probably didn’t care huh? I told her that he did, and we had a conversation about it. Also, said that my dad was like, she’s (me) always saying, she wouldn’t allow this and that but let’s him yell at her. My mom put the blame at me because I “allow it”. She went on how, my dad might cheat on her and do this and that now that they’re married. But, he never raised his voice at her when they were dating, that he was a gentleman. That’s why she fell for him, but that I at least know how he (my boyfriend) is. Have in mind that she wasn’t calling him by his name or saying your boyfriend but with insulting names.

Now my parents have this perception of him and idk what to do. I fell like if I try to explain, they were think I’m just putting excuses for his action to make it seem it’s not what it seems like when it actually is. It’s not.