How to set cookies when signing in from server?

I'm using Hono+TRPC for backend (running on port:3000) and react router v7 framework for client (running on port:5173).

This is what the sign-in procedure looks like:
signIn: publicProcedure.input(signInSchema).mutation(async ({ input, ctx }) => {
        try {
            const res = await auth().api.signInEmail({
                body: {
                    email: input.email,
                    password: input.password,
                    callbackURL: `${ctx.env.VITE_PUBLIC_APP_URL}/dash`,
                },
                headers: ctx.honoContext.req.raw.headers,
                returnHeaders: true,
            });

            console.log("sign-in res:", res);

            return { status: "success", message: "Sign-in successful" };
        } catch (error) {
            return {
                status: "error",
                message: error instanceof Error ? error.message : "Sign-in failed",
            };
        }
    }),

It validates the credentials and says sign-in successful, but technically i cant sign in as the cookies are not set.

how do i set the cookies for each endpoint.
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