I've been so angry and disappointed for so long, because of the pointlessness, an unnecessarily difficult fight, I'm doing it for the twentieth time and I'm already pissed off, killing his sister first - nonsense, killing that shark guy first is nonsense - no way, and I can't be stronger because I have to defeat them first, if I could have 4 characters there then it would be okay, I missed everything, no way, either there's a mistake that I made them already dead and they were still there, or it's unnecessarily difficult
Can't kill the sister too soon, otherwise he enrages permanently. No one touches his cute little sister!
There are a few tricks you can use if you attempt the fight on high difficulty. If you target his sister, Rick also targets the attacker, meaning you can let his most powerful attacks run into your defensive cooldowns. You can also switch Rita to the side with Tug of War or use Akari's Battojutsu to prevent attacking her, therefore not giving Rick his damage buff. Block break Rick or summon Mike to cancel Sharknado also helps a lot.
HOWEVER, if he's still kicking your ass, there is a story mode difficulty which reduces all enemy damage by 90% while doubling your own damage. Not sure if you saw that one, but with that it should be a non-issue since you can take them down pretty much with auto-attacks.