Tire rack installation help

Hello,

Need some help trying to put a tire rack. I need to place of the brackets between two studs and not sure how to reinforce the area properly.

Do I just put a 2x4 across both studs and just screw it in? Is that strong enough? Should I use a thicker screw? Worried that the pieces will be torn right out cause of the screws.

https://imgur.com/a/MSphwgR

PianoRevolutionary12
1 | 5 hours ago
your_mail_man
1 | 6 minutes ago