Eka-santha grahi refers to a person who comprehends any thing by one time.
In general, comprehension depends on Shradda (faith) and Chitta.
Krishna explains the role of faith in geetha
श्रद्धावान् लभते ज्ञानं
Those whose faith is deep attain (divine) knowledge.
And many sastras explain about role of ekagra-chitta.
Keep ekagra-chitta aside. Lot of people has less shradda and hence has less comprehension rate. If a person first attains shradda then ekagra-chitta can also be invoked by practice.
Is there any manta that results in increasing shradda in a person to make him/her Eka-santha grahi.