Hello aspirant to get through jee mains you can apply for the following private colleges in maharashtra.As the government college in maharashtra COEP , VJTI , THADOMAL SHANANI COLLEGE OF ENGINEERING accept only maharashtra cet you can apply for the following colleges through jee mains:

• Pimpri chinchwad college of engineering 
• Pune institute of computer technology 
• Xavier institute of technology Mumbai 
• Ramdeobaba college of engineering and management NAGPUR 
• Ramrao adik institute of technology Mumbai 
• Rizvi colleges of engineering Mumbai 
• Dy patil college of engineering pune
• Sardar Patel college of engineering 
• Bharati vidyapeeth college of engineering, navi Mumbai 
• Vishwakarma institute of technology,pune
• Amity university,Mumbai 

for more information visit this link 

https://engineering.careers360.com/colleges/list-of-be-btech-colleges-in-mumbai

Hello Aspirant though jee mains you can apply for the following colleges in maharashtra as the government college COEP, VJTI,KJ SOMAIYA COLLEGE AND SOME MORE COLLEGE ONLY ACCEPT MAHARASHTRA CET. The list of private colleges for which you can apply are follow:

• Rizvi college of engineering Mumbai 
• Dy patil institute of engineering management and research,pune 
• Sinhgad college of engineering,Pune
• GH raisoni college of engineering and technology NAGPUR 
• YCC engineering , NAGPUR 
• Ramrao adik institute of technology Mumbai 
• Vidyalankar institute of technology Mumbai 
• MIT world peace university,pune
• Amity university,Mumbai 
• Sardar Patel college of engineering Mumbai.
• VIIT PUNE 

ALL THE BEST!