In their first game without Glavinic, Panthers midfielder Daniel Felizzi opened the scoring on 13 minutes and striker Sam Smith doubled the lead at the half hour mark.
But Rhinos defender Darren Bailey pulled one back before the break and two second-half goals in two minutes completed the comeback.
It was Joseph Preece and Mitch Bagiante who proved the difference with well-taken chances in the 71st and 73rd minutes.
Meanwhile, Woden-Weston and Tuggeranong United split the points in a game of two halves at Woden Park Enclosed.
Wanderers striker Olaide Yinka-Kehinde scored his eighth league goal of the season in the sixth minute, before United gun Shane Murray equalised in the second stanza.