I have 2 cacti that are currently blooming, so I'm hoping for help with identifying them. The first one has a yellow bloom with red inside and the cactus is small, green and wavy. The second has a light pink bloom with a slightly darker pink line from the base of the bloom going up the petal. The cactus is small with deep grooves and slightly purple.

Looks like Parodia and Gymnocalycium to me. I'll let others who know more direct you to the actual species.

Thank you @Baja_Costero
The pink one was sold to me as a purple moon cactus and since you put me on the right track I've done some research and now believe it to be a gymnocalycium mihanovichii f. Rubra.
I looked into parodia, but the shape didn't match any I could find and in my feed came up a picture that looked similiar and I clicked on it.
The other cactus I believe to be now as a thelocactus setispinus. Which I got at Lowes a year ago for .50 because it looked dead.
Thank you so much for helping me again, you really are so awesome. I tried to send an acorn but it was my first time doing it and I don't know if it worked or not.

Thank you for the positive energy, which I have received. I'm glad you figured the names out. Nice flowers.

Thelocactus setispinus, the first one

2nd one correct Gymno Miha, but I am not sure if it is Rubra or not, so many hybrids of Gymnos Miha in the market, and the color will change from time to time.