McQuaide agreed to a one-year, $1.317 million contract with the Lions on Sunday, Aaron Wilson of KPRC 2 Houston reports.
McQuaide (triceps) was placed on IR on Wednesday.
McQuaide will likely miss the remainder of the 2022 season after sustaining a torn triceps injury, Nick Eatman of the Cowboys' official site reports.
McQuaide agreed to a one-year contract with the Cowboys on Monday, Calvin Watkins of the Dallas Morning News reports.
Rams signed LS Jake McQuaide to a four-year extension through 2017.
An undrafted free agent out of Ohio State in 2011, McQuaide took over as St. Louis' deep snapper as a rookie and held onto the job in 2012. He was previously scheduled for restricted free agency in 2014.