Does cerve moisturizer burn anyone else’s skin?

Due to the crazy cold here in Ohio I had to change my skincare as my skincare was giving me a burning sensation. I used to use la rochey hydrating cleanser and Farmacy halo glow moisturizer. I asked here for a new regimen, and people referred me to prequel cleanser which I’m obsessed with! And the balm skin protectant. When I was my face now I’m fine, I put Tret on I’m fine; but right after when I use cerve moisturizer cream it’s burning but the burning goes away in like a min or so. Could it be because of the HA in it? I just bought it and I honestly don’t want to buy another moisturizer 😭😭