The Hornets (2-3, 1-0 Big Sky) jumped ahead late in the second quarter as Safron threw a 15-yard touchdown to Carter with just over a minute remaining, then recovered a punt at the 15 and Safron found Carter again to take a 14-0 halftime lead.
Sacramento State pulled away in the third quarter as Safron connected with Chris Broadnax for a 16-yard touchdown.
The Wildcats (1-4, 0-1) responded with a field goal, but Safron answered, hitting Carter with a 51-yard scoring strike.
Safron was 25-of-31 with 288 yards and an interception and Carter finished with eight catches for 148 yards.
The victory was the Hornets' first in Ogden as they had loss their previous eight games at Weber State.
The Spartans went into signing day needing to get stronger at receiver, and they did just that, signing four wideouts including two in the ESPN 300.
Were Oklahoma's running backs or Baylor's offensive linemen more impressive in 2015?
Ohio State entered the week with the best early 2017 class, which featured nine ESPN Junior 300 verbals. On Tuesday morning, that number reached double-digits with the commitment of defensive lineman Haskell Garrett.
One of the hottest names from the Class of 2017 over the past few weeks, both on the field as well as in regard to his recruitment, has been Santa Ana (Calif.
In an interview, former Texas A&M QB Kyle Allen said not everyone on the team was "committed."
The Sooners might not just boast the best running backs in the Big 12. They might have the best group in the country.