Formula milk for low birth weight babies

My baby girl is six days old now MA.
She is born at 38 weeks with 5.25 lbs weight. I m trying hard to bfeed her but due to past experience with baby no 1, of continously refusal to breastsmilk and ultimately ending up with formula , I fear the history won’t get repeated itself. Coz this baby also seems stubborn despite all efforts.
So my question is , what is the tried and tested formula milk for low weight babies?
The real issue is my baby no 1 never gained good weight even on formula milk ( took Meiji and lactogen). She was always and is on skinny side. While me and my husband or anyone in our families is not skinny at least. So I want a really really good formula milk this time.
Anyhow I kept asking her peaditrician to suggest a good formula milk but he said all formula milks are same.