I thought it might be useful to try and keep any information together for what we can find out about this feature. I will post what I have learned from various sources.

When choosing items to give to Kurito, each item has a point value. These values have been mentioned to be as follows:



These are all from the JP wiki, but I don't know how accurate these numbers actually are.

As the number of points increase, it changes the color of the "confirm" button. It appears this button has 4 stages:


(Taken from JP wiki. Point values may give a range of wait times)

Now, as far as the rewards go there seems to be no complete data available. The rewards seem to have a better chance at being good with the longer the duration you have to wait. I can't confirm if the rewards themselves have thresholds that must be met before they can be obtained. Namely, the limited cards are the concern here.

But we do have this table that demonstrates wait times based on point values given to Kurito. Maybe with enough experiments as time goes by, the table can be filled out with more examples of materials being used, estimated points given, wait time, and the rewards given as a result.

With the rewards seemingly entirely random, I'm just going to list each reward given per time waited separately, rather than listing them based on the actual reward given to each person. Consider this as a "pool" of rewards that are possible, and know that multiple rewards are possible, and even very likely with higher wait times.

Material Example	Material Points	Time (HH:MM)	Earned Rewards
N Wild card × 1	2-32	0:05	N Wild card × 1, N Gacha Ticket x1, Candy x5
Candy x10 + N Wild Card x4	34-95	0:10	Limited R, Sexual Energy Drink, Candy x5, R Wild Card, Elixir
Pero Pudding Half	96-178	0:20	Candy x5, R Wild Card, Elixir
Pero Pudding Half x2	180-296	0:30	Limited R, Wild Card 1, Candy x10
	298-489	0:40	Wild Card 1, Wild Card 3, R Wild Card, Candy x15, Peronamin Half
R Gacha Ticket x1	490-778	0:50	Limited N, Limited R, Limited SR (!?Wait time not confirmed), Wild Card 1, Wild Card 3, Wild Card 5, R Wild Card, Candy x20, Pero Pudding, Pero Pudding Half
Peronamin + Pero Pudding	780 to 1,500	1:00	Limited SR ?? (Needs confirmation), Candy x20, Wild Card 3, Limited N, Limited R, Pero Pudding Half
R Gacha Ticket x2 + Pero Pudding x1	1,501 - 2,649	1:30	Limited N, Limited R, Limited SR, Candy x20, Wild Card 3, Wild Card 5, Peronamin, Pero Pudding, Pero Pudding Half, R Gacha Ticket
Pero Pudding x2 + Peronamin x1	2,650 - 3,250	2:00	Limited R, Limited SR, Card Reveal, Candy x30, PeroPero Glasses x2, PeroPero Radar x2, R Gacha Ticket, Wild Card 5, Peronamin x2, Peronamin Half, Pero Pudding, Pero Pudding Half
Peronamin x1 + R Gacha Ticket x6	3,600 - 4,190	2:30	Limited N, Candy x30, PeroPero Glasses x2, PeroPero Radar x2, Peronamin, Pero Pudding Half
	5,200 - 6,800	3:00	Peronamin x2, Pero Pudding x2
R Gacha x10 + Peronamin x2	7,100	3:30	Pero Pudding x2, Card Reveal x2
Pero Pudding x10, Card Reveal x3, R Gacha Ticket x1	10,050	4:00	Limited SR, Candy x50, Pero Pudding x2, Card Reveal x2
	12,000 to 14,600	4:30
Card Reveal x10, Pero Pudding x10, Peronamin x10, R Gacha Ticket x2	20,001 ~	5:00	Limited SR, Candy x100, EX Wild Card, Pero Pudding x10