Moin, who is also the manager of the national team, told a news conference in Lahore that Younis had been left out of the side because the selectors wanted to move on and prepare for next year's ODI World Cup.
"Younis has served Pakistan cricket a lot but time has come to also give more exposure and responsibility to the younger players if we want to get them ready for the World Cup in Australia and New Zealand," Moin said.
"The selectors have a right to take their decision but I am not giving up and will try to perform well in limited over games and make a comeback," Younis said.
The exclusion of Younis came as a bit of a shock because he had only been recalled for the One-day series against Sri Lanka last month after being ignored for this format since March 2013.
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Moin said the doors were not closed on Younis forever.
"We are relaying now on our younger players but if things don't work out and there is a need to make changes, Younis is such an experienced batsman so he can still be recalled for the World Cup," he said.
The selectors, after long deliberations, also dropped left-arm spinner Zulfiqar Babar from the T20 and ODI squads while once again ignoring experienced pacer Umar Gul.
Moin said Gul still needed to improve his match fitness to be considered for selection.
Those recalled included left-handed batsman Umar Amin, left-arm spinner Reza Hasan, pace bowler Bilawal Bhatti and dashing opener Ovais Zia - has been picked in the T20 squad after last playing against England in early 2012.