How to deal with a difficult coworker ?

I'm asking this question here because maybe someone with enough experience and good soft skills can help me. I'm struggling to handle this on my own, maybe lack of experience in these situations. I'm front end developer and a backend coworker is bothering me doing unbelievable things. He is checking if my tasks were done during sprint reviews, even raising doubts when I answered about the status of the task by project manager. One task was changed by me and the project manager because the design was not ready but he couldn't understand why and in his mind it's very easy to do even if he's not his domain of expertise and he doesn't know what's going on the project in front side. He's also testing my work and giving feedback, wrong feedbacks, because another time this is not his domain of expertise. He's rude and impolite, all the time interrupting people, it's impossible to argue or have a constructive debate with him. He knows everything. He can start insulting or being disrespectful if someone contradicts him or tries to argue with him. He's all the time looking for attention and people to thank him. My strategy was to keep calm and not answering to him. The project manager answered to him about the status of tasks. But I just don't like it, he's not my boss neither my leader, and he's not even in the front team. If someone could tell me how to handle this in his point of view I would appreciate that.