Meschede was born in Johannesburg, South Africa to a German father. He attended King's College, Taunton, where he played a number of good innings. On the completion of his A-Levels, he signed a two-year contract with Somerset County Cricket Club, eligible to play as a non-overseas player due to his German passport. He made his debut for Somerset along with five other players during their opening match of the 2010–11 Caribbean Twenty20, when Somerset were missing a number of key players. Meschede was run out for one run in the match, which Somerset lost narrowly. He managed more runs in the remaining three matches of the competition, and finished with 55 runs in the tournament at an average of 27.50. He began the 2011 English domestic season playing for Somerset's second team, but got an opportunity in the middle of May for the first team, being selected for the Clydesdale Bank 40 match against Lancashire. He was not required to bat or bowl on his one-day debut, but was picked for the County Championship match during the same week. Facing Sussex, he scored 18 and 15 not out in an eight wicket loss for Somerset. After these matches, he returned to the second team until the middle of June, when he was called up for a Twenty20 match. He made a few appearances low in the order, but his best performance came when he batted at number three against Glamorgan, when he scored 53. He enjoyed little success with the bat in his other matches, irrespective of his position in the batting order, and finished with a batting average of 15.62 in the competition; his 53 being his only half-century. He enjoyed some modest successes as a bowler: against Essex, he took three wickets in just nine balls, during a match in which Essex were bowled out for 82 runs; Somerset won the match by 143 runs. In the competition as a whole, he was bowled sparingly, bowling just 63 balls, but his bowling average; 13.66 was second on the team behind Arul Suppiah. He claimed his maiden first-class wicket against the touring Indians, taking the wicket of Sachin Tendulkar. He played more regularly for Somerset towards the end of the 2011 season, when the side was affected by injuries, and scored his debut half-century in first-class cricket in the second innings of the match against Hampshire, reaching 53. On 18 November 2014, Meschede joined Glamorgan County Cricket Club on a season long loan for the 2015 season. On 21 April 2015, Meschede scored a career best and a match-saving 101 against Surrey in the county championship. On 25 January 2015, Meschede joined Glamorgan permanently on a three-year contract.
In June 2020, Meschede announced his retirement at the age of 28 from professional cricket with immediate effect due to injury. He had been suffering with a Neurogenic Thoracic outlet syndrome since mid-way through 2019, limiting his shoulder mobility and strength, and after months of rehabilitation work Meschede took the advice of specialists to retire from the game.
