Did Rana Sanga invite Babur to invade Delhi? How was Rajput king defeated by Mughals despite bigger army?

After Samajwadi Party MP Ramji Lal Suman called Rana Sanga a "traitor", who "invited Babur to invade India", all hell broke and a massive controversy erupted over the issue. Did Rana Sanga invite Babur to invade India and defeat Ibrahim Lodi of Delhi in the First Battle of Panipat in 1526?