I will say no matter what you use make sure you're not using too much, it's bad for the machine, bad for your skin, and bad for your wallet. All modern machines or high efficiency (HE) machines are meant to use very little detergent. You only need about 2 tablespoons of that concentrated liquid stuff, if you're using the lines in the cap stick to the smallest line and don't overfill the machine with clothes.
Try Molly's suds. You can get it on amazon, ingredients are great and it has rave reviews
Mollysuds is great or i love “truly Free” as well
After you’re done with this I’d suggest trying branch basics. You can use it for laundry and for literally everything else in your house