For this achievement, you will need at least one friend with that game to send you asynchronous challenges. See the Achievement Trading thread HERE to find others with the game. Basically they play an Endless Run level and then challenge you to beat their score. You have one attempt to complete the challenge.
The fastest way to earn this achievement is to boost it with a single partner. Just send each other 25 challenges where you do not doing anything in Endless Mode and walk into the first barrier in the Canyon level. Then to beat the challenge all you have to do is hop over the first barrier and die. Repeat 25 times for this achievement. You can track your progress in the badge area after completing a playthrough of Endless Run under "Win A-sync Challenges - xx/50"
NOTE: The counter and this achievement are a bit glitchy. It also appears to count failed challenges as wins as well, so you may need to complete a few more than 25. If it doesn't unlock, just keep doing a few more challenges. It is also suggested you do all of them on the same Endless Run stage (i.e. Canyon) to avoid any potential glitches.