Defender Baumgartl has decided to commit his future to the Bundesliga outfit until 2022, while midfielder Ozcan has penned a deal at the club until 2021.
Reschke has been pleased to get the two deals over the line and feels the news of the contracts will be a big boost to the club.
He told the club's official website: "We are delighted to have secured contract extensions with two talented youngsters from within our own ranks in. Together, we intend to successfully continue the development we have undertaken in the coming years. Timo Baumgartl is one of the most interesting central defenders in Europe and, over the past few weeks and months, he has established himself as a set fixture within the team.
"With Berkay Özcan, it is particularly interesting to see how he has dealt with a slight sporting dip. He has played his way back into the starting eleven with some impressive performances and he has proven vital to the success of the team, notching up some important scorer-points."