import org.jsoup.Connection;
import org.jsoup.Jsoup;

import java.io.BufferedInputStream;
import java.io.ByteArrayOutputStream;
import java.io.FileInputStream;
import java.io.IOException;
import java.util.Base64;

public class Recognize {

    public static void main(String[] args) throws IOException {

        ByteArrayOutputStream out = new ByteArrayOutputStream();
        BufferedInputStream in = new BufferedInputStream(new FileInputStream("C:/Users/mi/Downloads/speech.wav"));
        int read;
        byte[] buff = new byte[1024];
        while ((read = in.read(buff))>0){
            out.write(buff,0,read);
        }
        out.flush();
        byte[] audioBytes = out.toByteArray();
        String mimeEncoded = Base64.getMimeEncoder().encodeToString(audioBytes);

        Connection.Response response = Jsoup.connect("Https://asr.yandex.net/asr_xml?" +
                "uuid=01ae13cb744638b58fb536ddd496daa" +
                "&key=<<мой ключ к яндексу>>" +
                "&topic=numbers" +
                "&lang=ru-RU HTTP/1.1")
                .header("Host","asr.yandex.net")
                .header("Content-Type","audio/x-wav")
                .header("Content-Length", String.valueOf(mimeEncoded.length()))
//                .data(mimeEncoded)
                .method(Connection.Method.POST).execute();
    }

}

Exception in thread "main" org.jsoup.HttpStatusException: HTTP error fetching URL. Status=400, URL=https://asr.yandex.net/asr_xml?uuid=01ae13cb744638b58fb536ddd496daa&key=<<мой ключ к яндексу>>&topic=numbers&lang=ru-RU%20HTTP/1.1
	at org.jsoup.helper.HttpConnection$Response.execute(HttpConnection.java:537)
	at org.jsoup.helper.HttpConnection$Response.execute(HttpConnection.java:493)
	at org.jsoup.helper.HttpConnection.execute(HttpConnection.java:205)
	at Recognize.main(Recognize.java:34)

&lang=ru-RU HTTP/1.1