The phrase "award attention" means to give recognition or focus to someone or something that has achieved or accomplished something significant. Full definition
With a bounty of awards attention ahead, expect it to surge ahead of all those totals even if it doesn't win. (indiewire.com)
With a number of actress - driven films getting awards attention, voters had to make tough decisions to narrow down the field to 5. (awardscircuit.com)
It didn't result in any major awards attention. (awardswatch.com)