The former Senate majority leader has served more than 20 years in the Legislature.
The firm Envoy Sage will be paid out of the Senate Republican leader’s taxpayer-funded leadership account.
Voter ID and earlier deadlines to register and apply for a mail-in ballot are being considered.
The increases apply to more than 1,000 jobs and are the largest since 1991.
The bill has bipartisan co-sponsors but a House Republican spokesperson says it is not a priority this fall.