Should I report my professor?

As a college professor, I can tell you that there is an order to complaints if you feel that complaining is necessary.
First, you MUST go talk / talk virtually to the professor. You wont be taken seriously by those you complain to if you dont take this step first. Ask why the course is set up as such and why his/her assignments are the way they are. Most faculty care and have reasons behind their methods. If he/she clearly does not care or have any answers to this, then you may move up the chain of command. Check your syllabus which frequently has the person to contact if you have an issue that cannot be resolved. if it is not there, either ask your professor directly (we do give out this info) or call the department administrative office and ask. Be sure to always be polite.
And remember, that not every professor is a “match” for every student. Yes, some are truly bad, but that is fairly rare, sometimes it is just a matter of what you find helpful versus what another student finds helpful. There are plenty of places online to read about professors before registering for classes, definitely use those to help guide your picks.
Good luck!