There will be no more Krypton on Syfy. The network has opted not to renew the Superman origin drama series, and the recent Season 2 finale August 14 was a series finale on the NBCUniversal cable network. With the mothership series getting canceled, Syfy also won't be proceeding with the previously announced Lobo spinoff, which had been in development.
I hear Krypton producer Warner Horizon Scripted Television is in conversations with other outlets, exploring ways to continue the franchise based on DC characters elsewhere. Siblings DC Universe and the upcoming HBO Max streaming platform are considered the most logical options as DC content has been a focus for both. Past seasons of Krypton already run on DC Universe. Season 1 is currently streaming on DC Universe, with Season 2 coming in 2020.