After spells with various amateur clubs in North Rhine-Westphalia, including Schwarz-Weiß Essen, Mölders was signed by MSV Duisburg in 2006.

In his first season playing for Duisburg's reserve team, he scored 24 goals, making him the top goalscorer in the Oberliga Nordrhein.

This earned him a place in the first-team squad for the following season, and he made his Bundesliga debut as a substitute for Pablo Cáceres in a 2–1 defeat to Hannover 96.

He played a further ten games in the 2007–08 season, but was unable to get on the scoresheet as Duisburg finished bottom of the league and were relegated.

On 7 January 2022, Mölders signed a deal with SG Sonnenhof Großaspach for the remainder of the season as a player and co-trainer.