Crime-comedy drama is obviously what it is called.
The character Evert Bäckström was created by Swedish Criminologist and writer Leif GW Persson. This Bäckström is a police detective to hate. He is fat, homophobic, rasicst and misygyn. He is not stupied but no genius either. He sometimes stumbles on new evidence, as when he returns to a murder victim's flat to steal alcohol. He is certainly not the hero or protagist of the books or series.
In the Amercian version, Lieutenant Everett Backstrom, he seems still not likeable but he is the protagonist and I think he is supposed to be smart. Some say it is Dr House as a detective but I don't think so. I think professor Persson was inspired by some real police characters when he invented poliskommissarie Evert Bäckström.
Myself I have a hard time watching a series with an unlikeable protagonist. Maybe I don't have the right humour.
We are famous for "Stockholm syndrome": "Q: Hey, what's up with Matt? His Dad is on social security, his mom got laid off, his sister's kids get free school lunches, he collects federal financial aid for college, and he only makes minimum wage working at Walmarts. Yet he keeps talking about how we need to cut taxes for the wealthy and quit spending so much on social programs. A: Yeah, he thinks he's going to be a millionaire soon. He's got Economic Stockholm Syndrome." (Urban Dictionary)