The new rules could force such services to close down, the two parties said, adding that the issue would be raised in the ongoing budget session of state legislature.
Leader of Opposition in the Legislative Council Dhananjay Munde (NCP) said, "We will raise the issue in the Council this week so that ordinary Mumbai residents are not inconvenienced due to these new rules."
Member of Legislative Council and Congress leader Anant Gadgil said the restrictions should be imposed to ensure consumer safety, and not to protect "Kali-Peeli" taxis (the ordinary Black-Yellow taxis plying on Mumbai roads).
The BJP-led Maharashtra Government introduced new rules for the app-based taxis through two notifications, issued in October 2016 and earlier this month.
License fee for the app-based taxis with engine capacity of 1400 cc and above was set at a steep Rs 2.61 lakh.
The new rules also require the cab aggregator firms to give a hefty bank guarantee.