The exchange said the process was designed to ensure that the shares can only be traded where the market is fully informed about all material aspects of a potential acquisition in the context of a reverse listing transaction.
"The suspension will remain in place until information contemplated by a notice of meeting or profile is disclosed to the market," the NZX said.
The transaction values both the Me Today and Good Brand Company businesses at $5.55 million, including $1m of cash. CSM is valued at $2.1m.
Lindsay, who sold plastics company Sistema for $660m in 2016, last month paid $250,000 for a 12 per cent stake in CSM Group.
CSM was listed on the now-defunct junior board, the NZAX, before moving to the exchange's main board in July.
In its last annual report for the year to June, CSM - a former scrap metal company - announced a $1.3m loss.
The CSM transaction is the first to be undertaken since the NZX introduced new rules covering reverse listings in January this year.