Less than a year following the Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) outbreak, variants of concern have emerged in the form of variant Alpha (B.1.1.7, the British variant) and Beta (B.1.351, the South Africa variant). Due to their high infectivity and morbidity, it has become clear that it is crucial to quickly and effectively detect these and other variants. Here, we report improved primers-probe sets for reverse transcriptase quantitative polymerase chain reaction (RT-qPCR) for SARS-CoV-2 detection including a rapid, cost-effective, and direct RT-qPCR method for detection of the two variants of concern (Alpha, B.1.1.7 and Beta, B.1.351). All the developed primers-probe sets were fully characterized, demonstrating sensitive and specific detection. These primer-probe sets were also successfully employed on wastewater samples aimed at detecting and even quantifying new variants in a geographical area, even prior to the reports by the medical testing. The novel primers-probe sets presented here will enable proper responses for pandemic containment particularly, considering the emergence of variants of concern.