A native of Chicago, Illinois, Moore attended Simeon Career Academy in Chatham, where he played primarily offensive tackle as an underclassman due to his 6'6" frame. He was selected to Illinois Top 100 Players, was a Chicago 5-star recruit and was ranked in the Illinois Prairie StateTop Five. He was named All-City First Team and All-State. He also competed in track & field for the Wolverines. He moved on to Division II Concordia University, where he focused on playing defensive end. He became a starter as a sophomore, registering 42 tackles and 10 sacks. The next year, he was redshirted and did not play. In 2012, he tallied 14 sacks and 21 tackles for loss. As a senior, he posted 33 tackles, 7 sacks, 12 quarterback hurries, 2 forced fumbles, 2 fumble recoveries, 3 passes defensed, and one blocked kick. He set the school record in career sacks and finished third all-time in tackles for loss.
Moore was selected in the sixth round of the 2014 NFL draft by the New England Patriots, becoming Concordia-St. Paul's first player to be selected in the NFL Draft. During the 2014 season, Moore was active for eight regular season games, and did not play in any of the team's postseason contests, including their Super Bowl XLIX victory over the Seattle Seahawks, becoming Concordia-St.Paul's first Super Bowl champion. In his limited snaps, Moore recorded only three tackles, but did record a half-sack and forced fumble of Chicago Bears quarterback Jay Cutler, which was returned for a touchdown by Rob Ninkovich. Moore also recovered a C. J. Spiller fumble against the Buffalo Bills. Moore was released by the Patriots on September 5, 2015.
On September 5, 2015, Moore was signed by the Minnesota Vikings to the practice squad, moving back to the state where his college career took place. On December 19, Moore was promoted to the 53-man roster. On September 3, 2016, he was released as part of the team's final roster cuts.
On December 27, 2016, Moore was claimed off waivers by the San Francisco 49ers, in order to secure his rights for the 2017 season. He was declared inactive for the last game of the regular season. On May 2, 2017, Moore was waived by the 49ers.
On May 3, 2017, Moore was claimed off waivers by the Carolina Panthers. He was waived on September 2, 2017 and was signed to the Panthers' practice squad the next day. He was promoted to the active roster on December 2, 2017. On September 1, 2018, Moore was released by the Panthers.
Arizona Cardinals
On September 2, 2018, the Cardinals claimed Moore off of waivers. He played in all 16 games recording 14 tackles and 3.5 sacks.
