Jose K Mani's 19-year-old son was released on bail by the police.
The appeal sought to form Village-Panchayath level committees for the survey.
On Wednesday, the LDF government decided to allow liquor shops in IT parks holding that such facilities are needed to make the state investment-friendly.
The seat became vacant after Mani resigned from the Rajya Sabha on January 9 early this year after his party joined the LDF fold before the Assembly polls. His tenure will now extend till July 2024.
The seat became vacant when Mani resigned from the same seat after his party shifted alliance to the Left Democratic Front from the Congress-led United Democratic Front.
The decision was made at a meeting of the Left front held on Tuesday.
The bypolls were necessitated following the resignations of Kerala Congress (M)leader Jose K Mani and Arpita Ghosh of the Trinamool Congress from the upper house earlier this year.
The review report, approved by the CPI State Council, blamed Jose K Mani's lack of popularity as one of the reasons for the LDF's defeat in Pala.
The CPI state secretary had recently criticised its senior leader Annie Raja for claiming the presence of an 'RSS gang' in the Kerala Police
The CPM and CPI, which won 79 of the 99 seats they had contested, could have shared the power by sidelining the allies. But for the first time in the State, the Front decided to fix terms for ministers to accommodate smaller alliance partners.