Open your HTML email signature file in your iPhone's web app.
Tap and hold on the name in your email signature, then tap the Select All option, then Copy.
Open the Yahoo Mail iOS App and tap the Yahoo Mail logo at the top left of the app. Select Settings.
Scroll down and find the General section, select Signature.
Tap inside the signature field and delete the "Sent from Yahoo Mail" text. Tap and hold inside the field, then tap Paste. Ensure your signature is enabled at the top, the toggle should be blue and positioned to the right.
Close out of your settings and compose a new email. Your email signature will now automatically insert when sending an email from the Yahoo Mail iOS App.