 Cook made a second run for governor in 1992, coming in second with 34% to Republican nominee Mike Leavitt's 42% and Democrat Stewart Hanson's 23%.In 1994, he ran for Congress in Utah's 2nd district, taking third place with 18% behind Republican victor Enid Greene and Democratic incumbent Karen Shepherd.However, in 1996, after incumbent Republican Enid Greene announced she wouldn't run for reelection due to a scandal, Cook rejoined the Republican Party.