It's often misunderstood why we have seasons. One incorrect explanation for the seasons is the earth is closer to the sun in spring/summer and further away from the sun in fall/winter. Although the Earth's distance to the sun does vary slightly throughout the year, this is not the reason for the seasons. Let's take it back to earth science 101.
The Earth is actually tilted on it's axis (straight line going from pole to pole) at a 23.5 degree angle, which stays consistent through time and space. Due to the Earth's tilt, the Northern and Southern Hemispheres are rarely ever angled - only at the fall and spring equinoxes - the same towards the sun throughout the year. When one hemisphere is angled toward the sun (spring/summer) the other is angled away from the sun (fall/winter). The effect of this is unequal heating of the globe and the changing of the seasons. The fall and spring equinoxes mark the point at which the hemispheres are beginning to become angled toward or away from the sun. However, at the exact instance of the equinox there is a very brief and fleeting moment that the hemispheres are equals in terms of the sun rays.
But why is the earth tilted? Well it's hypothesized that billions of year ago, when the Earth was a newly born planet, earth collided with another smaller planet (Theia) which knocked the Earth off it's axis. The impact of this collision is still observed today as the Earth's tilt of 23.5 degrees and changing of the seasons. One other still observable impact from the collision is our moon, which was formed from debris ejected into space when Earth closed-lined the smaller planet.
The equinox isn't a switch that causes weather conditions to instantaneously change. In Utah, it may be technically fall but it's still relatively warm and the storm activity over the weekend was more summer than fall like. Expect a few scattered storms today across the northern part of the state as a punchy little system/trough and cool front quickly passes over the state. According to this morning's sounding at KSLC, there is a 'decent' amount of moisture and CAPE to help initiate some storms/showers. With the cooler mid to upper-level temps associated with this trough, there's a good opportunity for some graupel/hail in heavier showers. There will be a brief cool down the beginning of this week from a weak intrusion of cold air behind the cool front, but beyond that things will gradually warm up again as some ridging develops. In fact, besides some potential showers and storms later this weekend in some areas of Utah, there doesn't seem to be a ton of activity weather-wise going forward into next week. That's not to say things can change, but there aren't any indications as of now.