What specific unit is the portrayal?... and any data regarding known issues and when?
Most units chose a given time frame appearance as their primary impression fodder... This commonly reflects the majority of programs and events they desire to participate in... One kit to cover the largest scope. This generally is a mid-late war impression... many also have alternate kits put together later as an addition such as early war time frame.... Knowing that uniforms and gear tended to evolve over the course of the war... hence what a given unit looked like in 1862, may be totally different than what they looked like in 1864... They may have started out being provided state issued goods... but later in the war that likely changed to receiving standard US govt stuff when the first wore out.. The images above are full dress uniforms... likely wouldn't have much opportunity to don such dapper goods, especially on a battlefield.... and they would also be quite expensive to put together...
Another issue is the impression flexibility potential.... Most times on the reenactment fields we are commonly designated to portray a given historical unit that was there.... that is different from whom we normally portray or is our namesake... This is also why majority of reputable units tend to lean towards a more common generic appearance... so they can feasibly portray whom ever they desire or needed to do... Doing Federal is much easier since the respective time frame issues were less complex than doing CS impressions... A simple quality Federal sack coat, and fatigue cap, sky blue trousers one can fit in to just about anything, for a good long time frame... and its less expensive kit to obtain as well... and also would provide a degree of uniformity within the ranks... Have been doing both US and CS authentic Artillery for decades... When US... I use the sack coat the most... I also have an artillery MSJ for when we are portraying units that it applies too.. On the CS side for artillery I have four different jackets, depending on the time frame, and theater, being portrayed. But much of this was put together over the course of many years too...
I would also suggest resisting the urge that many new units and new reenactors tend to trod is diving into the decoration binge of preponderance of brass decorations, hat cords, badges, John Wayne neon red bibbed battle shirts and the like... that many wade into... Also try to keep the displayed rank structure in line with historical provenance of what a typical battery would have. Too many times we see units that half are NCO's and the other half officers.... It just looks silly when a group has 5-6 of the 7 cannoneers wearing chevrons... including 1st Sgt, Sgt Maj and the like, up on the gun... Good luck on your endeavor...