The phrase "a better attempt at" is correct and usable in written English.
It can be used when discussing improvements or efforts made towards achieving something.
Example: "After reviewing the feedback, I believe this is a better attempt at addressing the concerns raised by the committee."
Alternatives: "an improved effort at" or "a more effective try at".
We had better attempts at goal, Royston Drenthe was unplayable in the first half and Chris Maguire's had a great chance to make it 2-0 before half time.
Still, better a muddled attempt at emulating Ray Davies than the fearful sound of Noel in philosophical mode.
Without these, I feel that the act of forgiving is only meant to make people feel better, without an attempt at achieving justice and without a chance at improving future behavior.
When they're better, then attempt at talking to them again.
While the technique required a number of assumptions to undertake a back-calculation to overcome data restrictions on product volumes, these estimates are a first attempt at better understanding demand structures in these settings and should be viewed as suggestive.
The addition of Satin seemed to be a reward for his play in the minors, but not an attempt to get a better look at him to see if he fit in the team's future.
Her few respites come despite a bleak life that includes no prospects in America, and flashbacks to a grandmother (Tatyana Kuznetsova) who urges her uncle to do a better job at his next suicide attempt.
Anyone over 35 has a child on their shoulders attempting to get a better look at the stage.
My jelly-covered belly began heaving with sobs that I tried to stifle as the maternal-fetal medicine expert arrived and attempted to get a better look at Baby B. As she examined the baby's "lemon-shaped" head and looked at her spine, she saw the unmistakable signs of myelomeningocele spina bifida, the most severe type of the neural tube defect.
