Many Chasidic groups have a particular siddur that is used by most in that group. Does Satmer have such a siddur?
I believe Satmar Chassidim use סידור ישראל דוד.
A visit to any Satmar Shtiebel in NY could provide a more solid answer. I didnt pay attention to the siddur I used at the kever of the Divrei Yoel in K.Y.
Davening in a Satmer shul in Boro Park, I noticed the siddurim used there were not the typical dimensions I was used to seeing. On the first page the publisher explained that it was made that way in order to fit the (pretty narrow) shtenders (pews).
I don't remember seeing anything unusual about the siddur itself.
On Yomim Tovim many of them use the Machzor Divrei Yoel which details all the customs of the Divrei Yoel.