All Praise to Allah Subhanahu wa Taala and blessings of Him be on Prophet Muhammad peace be upon him His family and companions,
Yeah we could ask Allah Swt to send the rewards to the deceased ones by the recitation of Quran or some other kind of rewardful acts,here are some references,
'Abdullah bin Abu Qatadah narrated that his father said: "The
Messenger of Allah said: 'The best things that a man can leave behind
are three: A righteous son who will pray for him, ongoing charity
whose reward will reach him, and knowledge which is acted upon after
his death.'" (Hasan) Another chain with similar wording.(Ibn Majah)
and
Narrated Ibn `Abbas: A man said to Allah's Messenger (ﷺ) , "My mother
died, will it benefit her if I give in charity on her behalf?" The
Prophet (ﷺ) replied in the affirmative. The man said, "I have a garden
and I make you a witness that I give it in charity on her
behalf."(Bukhari)
And
It was narrated from Abu Hurairah that a man asked the Messenger of
Allah (ﷺ): “My father died and left behind wealth, but he did not make
a will. Will it expiate for him if I give charity on his behalf?” He
said: “Yes.”(Ibn Majah)
and
It was narrated from Ma’qil bin Yasar that the Messenger of Allah (ﷺ)
said: “Recite Qur’an near your dying ones,” meaning Ya-Sin.(Ibn Majah)
And [there is a share for] those who came after them, saying, "Our Lord, forgive us and our brothers who preceded us in faith and put not in our hearts [any] resentment toward those who have believed. Our Lord, indeed You are Kind and Merciful."(Quran 59:10)
Allah Swt and His Messenger knows best.