I tend to use Redken or Paul Mitchell myself anymore but my go to used to be Tresseme and I have used nearly every type of shampoo and conditioner in their line including this one and have never had any issues with greasiness. It always made my hair super soft and shiny!
It works ok. I was using Tresemme for years. Recently, I switched to Not Your Mother's Naturals. Give their moisturizing line (blue bottles) a try, maybe? Similar price point. Better product, though. Hope this helps.