Born in Provo, Utah, Bogus attended Brighton High School in Sandy, Utah, a 5A school, where she was named offensive MVP all three years scoring 79 career goals and providing 27 assists. Bogus played for the Utah Firebirds from 1998–2001. She was the leading scorer in 2001 when the team captured the state championship. Bogus played for Utah Futbol Club from 1997–1998 and Sparta Soccer Club from 1995–1997. She played on the Region IV Olympic Development (ODP) Team in 2001–2002 and was on the Utah Olympic Development (ODP) Team from 1998–2000. In 2002, Bogus was named Utah High School Player of the Year by Gatorade and NSCAA Adidas and was a USSSA honorable-mention All-American.
Bogus attended Arizona State University in Tempe, Arizona. She made an immediate mark on the team her freshman year, when she was named Pac-10 Freshman of the Year. Bogus led the conference in game-winning goals with seven, which tied the school record for a single season. She ranked third in shots (62) and goals (10) and had three assists. She was named to the 2002 All-Pac-10 First Team and Soccer America Magazine’s Freshman All-America Team. She was one of 12 finalists for Soccer Buzz Magazine’s 2002 National Freshman of the Year.
During her sophomore year, Bogus scored six goals and provided four assists, earning honorable mention accolades from the PAC. In 2004, Bogus scored four goals, including two game winners, and had a team-high five assists. She made the All-conference second team. As senior, Bogus scored 11 goals, including two game winners, and six assists. She received honors from the Pac-10, making the all-conference first team. SoccerBuzz and ESPN The Magazine both named Bogus to first teams in the West.
Bogus finished her career at ASU ranked second in goals (31) and points (80) and third for game-winning goals (12) and assists (18). As a senior, Bogus was in the inaugural class of Pat Tillman Scholars at ASU.
Bogus played on many semi-professional teams before being drafted by FC Gold Pride in the 2008 WPS General Draft. She moved to Los Angeles before the final rosters were announced. Los Angeles Sol signed her off waivers for the 2009 season and she appeared in seven games for the club.
In 2010, Bogus was signed as a developmental player by the Boston Breakers and spent the next two seasons playing with the Boston Aztec (WPSL) and the Breakers. She scored three goals and provided one assist in two WPS seasons.
On February 7, 2013, Bogus was picked by Seattle Reign FC in the 4th round of the 2013 NWSL Supplemental Draft. During the team's first regular season match against the Chicago Red Stars, Bogus provided the assist on the team's first goal by Christine Nairn. Of the assist, Nairn said, "I had the easy job. If Liz didn't put a perfect ball on my head, I wouldn't have been in the position that I was in." During a home match on July 26, 2013, Bogus scored a goal in the 83rd minute helping the Reign defeat the Chicago Red Stars 4-1. She made 19 appearances for the Reign during the 2013 season, serving two assists and one goal.
On December 5, 2013, it was announced that Bogus had been traded to FC Kansas City for the 2014 season. Of the trade, Reign FC head coach Laura Harvey said, "Liz was a huge part of our group last season and she will be missed...but when we looked at the upcoming season in the context of the changes we have planned, we feared her playing time could be limited. As a result, we felt the trade with Kansas City would be best for all involved."with Pali Blues
W-League champion: 2008
with PK-35 Vantaa
Naisten Liiga champion: 2012
Naisten Liiga cup winner with PK-35 Vantaa: 2012
with FC Kansas City
NWSL champion: 2014, 2015