There's a certain beraita (ת״רפיטוםהקטורת...) quoted in the gemara on כריתותו. which is recited both as part of the morning order of korbanot as well as after musaf. There are a few different girsot (versions) of the end of the beraita and all of the siddurim I've looked at (which include quite a few different printers as well as both Nusach Ashkenaz and Nusach Sefard siddurim) consistently use the girsah that ends
שאיןמכניסיןמירגלייםבמקדשמפניהכבוד
in the korbanot section before shacharit and the girsah that ends:
שאיןמכניסיןמירגלייםבעזרהמפניהכבוד
after musaf.
My pocket Artscroll siddur has a footnote mentioning the alternate girsah in each case, but still switches between them for shacharit/musaf. Is there a reason why we'd have different nusachot for korbanot vs. for musaf? Why do all of the siddurim seem to differentiate between them, and why is it always this format (מקדש for shacharit and עזרה for musaf)?