Sprinkle steaks with thyme, chopped oregano, 1/4 teaspoon salt, and 1/4 teaspoon pepper; press mixture into steaks. Melt butter in a large skillet over medium-high heat.
Add oil to pan; swirl.
Add steaks to pan; cook 4 minutes on each side or until desired degree of doneness.
Let stand 5 minutes; cut across the grain into thin slices.
Combine 3/4 cup water and carrots in a large skillet over medium-high heat. Cover and bring to a boil. Cook 6 minutes or until carrots are tender.
Remove carrots from pan. Wipe pan with a paper towel. Return pan to medium-high heat.
Add bacon to pan; cook 4 minutes or until crisp.
Remove bacon from pan with a slotted spoon; crumble.
Add carrots to drippings in pan; saut 1 1/2 minutes.
Add peas; saut 2 minutes or until heated.
Sprinkle with remaining 1/8 teaspoon salt, remaining 1/4 teaspoon pepper, and crumbled bacon.
Serve vegetables with steak; garnish with oregano leaves, if desired.