In a large saute pan, add 1 tbsp olive oil and 2 tbsps butter on medium high heat. When the butter melts, add the mushrooms, 1 tsp kosher salt and give it a stir. Lower the temperature to medium heat. Let the mushrooms cook down, releasing juices and start to brown, stirring occasionally, about 10 minutes.
Add onions and cook for about 8 minutes until they're translucent, stirring occasionally.
Add the garlic, sage, thyme and pepper. Saute for about 2 more minutes.
Add the dry fideo pasta and toast, stirring often and starting to lightly brown, about 3 minutes.
Add the rice and stir for about 1 minute.
Add broth, stir once to completely combine and increase the heat to medium-high to bring to a simmer. Cover and turn the heat to low.
Cook until the broth is absorbed and the rice is tender, about 15 minutes.
Remove from heat, fluff rice gently with a fork. Cover and let sit for 5-10 minutes before serving.