"The police and Self-Defense Force were powerless against evildoers hellbent on ruling the world. A new organization was created to defeat these villains... The Golden Warriors Treasure V: A team of five combat specialists. However, their drinking parties after battles became better known than the battles themselves, and they became known as the Cheers Soldiers, After V!"
Treasure V is a five-man team with the color scheme Red/Blue/Pink/Yellow/Green, the most commonly used quintet of colors since the original Himitsu Sentai Gorenger, also used in Denziman and various later Sentai including Ressha Sentai ToQger, the Sentai whose run After V aired within.
As was the norm for early Sentai, the gender ratio is four men (Red/Blue/Yellow/Green) and one woman (Pink).
Yellow's replacement being female is a reference to the change started by Choudenshi Bioman, the first Sentai with a female Yellow alongside the Pink, which gradually became the prefered option to this day.
The departure of the New Yellow (due to maternity leave) from the team and subsequent replacement by the original Yellow is another reference to Kirenger. In Gorenger, Daita Ooiwa left the team for a period of 13 episodes before rejoining following the death of his replacement Daigorou Kumano.
The Chief emerging as Lame Gold is an example of the 6th Ranger additions which was first experimented with in Bioman and Maskman before becoming tradition starting in Zyuranger. The trope of the mentor becoming a hero assisting the team has also appeared in many Sentai.