A new Republican group launching Thursday has budgeted $35 million to strengthen the party’s influence over the next round of redistricting, the complicated process of drawing favorable political boundaries for state and federal legislative districts.

The National Republican Redistricting Trust, overseen by Guy Harrison and other senior party strategists, was formed as a counterweight to the new Democratic group backed by former President Barack Obama and led by former Attorney General Eric Holder. House Majority Leader Kevin McCarthy, R-Calif., and Rep. Francis Rooney, R-Fla., are helping to raise money the NRRT.