As the initial LP has been inscribed, by sending this to the protocol, it will be 'expecting' and can verify tokens using the sending and receiving address.
Transfer inscribe:
A simple transfer inscribe will add tokens to the LP. The amount will be calculated by the already set pool ratios, or if no tokens exist, any ratio.
Note: When transferring tokens to the LP, two tokens will be expected in correct ratios, if not this could lead to rejection.